{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,19]],"date-time":"2024-07-19T10:26:39Z","timestamp":1721384799068},"reference-count":68,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2020,5,21]],"date-time":"2020-05-21T00:00:00Z","timestamp":1590019200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,5,21]],"date-time":"2020-05-21T00:00:00Z","timestamp":1590019200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Engineering with Computers"],"published-print":{"date-parts":[[2022,2]]},"DOI":"10.1007\/s00366-020-01026-7","type":"journal-article","created":{"date-parts":[[2020,5,21]],"date-time":"2020-05-21T12:02:46Z","timestamp":1590062566000},"page":"13-30","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Novel solution for heat and mass transfer of a MHD micropolar fluid flow on a moving plate with suction and injection"],"prefix":"10.1007","volume":"38","author":[{"given":"F.","family":"Baharifard","sequence":"first","affiliation":[]},{"given":"K.","family":"Parand","sequence":"additional","affiliation":[]},{"given":"M. M.","family":"Rashidi","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,5,21]]},"reference":[{"key":"1026_CR1","volume-title":"Spectral methods in fluid dynamics","author":"C Canuto","year":"1986","unstructured":"Canuto C, Hussaini MY, Quarteroni A, Zang TA (1986) Spectral methods in fluid dynamics. Prentice-Hall, Englewood Cliffs"},{"issue":"4","key":"1026_CR2","doi-asserted-by":"crossref","first-page":"853","DOI":"10.1007\/s00366-017-0502-5","volume":"33","author":"P Assari","year":"2017","unstructured":"Assari P, Dehghan M (2017) The numerical solution of two-dimensional logarithmic integral equations on normal domains using radial basis functions with polynomial precision. Eng Comput 33(4):853\u2013870","journal-title":"Eng Comput"},{"issue":"6","key":"1026_CR3","doi-asserted-by":"crossref","first-page":"1826","DOI":"10.1016\/j.camwa.2016.04.014","volume":"78","author":"H Khalil","year":"2019","unstructured":"Khalil H, Khan RA, Baleanu D, Rashidi MM (2019) Some new operational matrices and its application to fractional order Poisson equations with integral type boundary constrains. Comput Math Appl 78(6):1826\u20131837","journal-title":"Comput Math Appl"},{"issue":"12","key":"1026_CR4","doi-asserted-by":"crossref","first-page":"3713","DOI":"10.1016\/j.camwa.2019.06.008","volume":"78","author":"M Hosseininia","year":"2019","unstructured":"Hosseininia M, Heydari MH, Ghaini FMM, Avazzadeh Z (2019) A wavelet method to solve nonlinear variable-order time fractional 2D Klein\u2013Gordon equation. Comput Math Appl 78(12):3713\u20133730","journal-title":"Comput Math Appl"},{"key":"1026_CR5","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1002\/sapm1938171123","volume":"17","author":"C Lanczos","year":"1938","unstructured":"Lanczos C (1938) Trigonometric interpolation of empirical and analytical functions. J Math Phys 17:123\u2013199","journal-title":"J Math Phys"},{"key":"1026_CR6","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/j.chaos.2006.05.031","volume":"35","author":"T Tajvidi","year":"2008","unstructured":"Tajvidi T, Razzaghi M, Dehghan M (2008) Modified rational Legendre approach to laminar viscous flow over a semi-infinite flat plate. Chaos Solitons Fractals 35:59\u201366","journal-title":"Chaos Solitons Fractals"},{"key":"1026_CR7","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/j.camwa.2011.04.045","volume":"62","author":"MK El-Daou","year":"2011","unstructured":"El-Daou MK (2011) Exponentially weighted Legendre\u2013Gauss Tau methods for linear second-order differential equations. Comput Math Appl 62:51\u201364","journal-title":"Comput Math Appl"},{"key":"1026_CR8","doi-asserted-by":"crossref","first-page":"1135","DOI":"10.1016\/j.camwa.2011.04.014","volume":"62","author":"A Saadatmandi","year":"2011","unstructured":"Saadatmandi A, Dehghan M (2011) A Tau approach for solution of the space fractional diffusion equation. Comput Math Appl 62:1135\u20131142","journal-title":"Comput Math Appl"},{"key":"1026_CR9","doi-asserted-by":"crossref","first-page":"5662","DOI":"10.1016\/j.apm.2011.05.011","volume":"35","author":"EH Doha","year":"2011","unstructured":"Doha EH, Bhrawy AH, Ezz-Eldien SS (2011) Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations. Appl Math Model 35:5662\u20135672","journal-title":"Appl Math Model"},{"key":"1026_CR10","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1016\/0045-7825(90)90050-V","volume":"80","author":"O Coulaud","year":"1990","unstructured":"Coulaud O, Funaro D, Kavian O (1990) Laguerre spectral approximation of elliptic problems in exterior domains. Comput Method Appl Mech Eng 80:451\u2013458","journal-title":"Comput Method Appl Mech Eng"},{"key":"1026_CR11","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1090\/S0025-5718-1991-1094949-X","volume":"57","author":"D Funaro","year":"1991","unstructured":"Funaro D, Kavian O (1991) Approximation of some diffusion evolution equations in unbounded domains by Hermite functions. Math Comput 57:597\u2013619","journal-title":"Math Comput"},{"key":"1026_CR12","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1016\/j.cam.2015.01.004","volume":"282","author":"C Liu","year":"2015","unstructured":"Liu C, Zhub S (2015) Laguerre pseudospectral approximation to the Thomas\u2013Fermi equation. J Comput Appl Math 282:251\u2013261","journal-title":"J Comput Appl Math"},{"key":"1026_CR13","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/j.apnum.2014.09.001","volume":"87","author":"H Al\u0131c\u0131","year":"2015","unstructured":"Al\u0131c\u0131 H, Ta\u015feli H (2015) The Laguerre pseudospectral method for the radial Schr\u00f6dinger equation. Appl Numer Math 87:87\u201399","journal-title":"Appl Numer Math"},{"key":"1026_CR14","first-page":"95","volume":"18","author":"BY Guo","year":"2000","unstructured":"Guo BY (2000) Jacobi spectral approximation and its applications to differential equations on the half line. J Comput Math 18:95\u2013112","journal-title":"J Comput Math"},{"key":"1026_CR15","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1016\/S0168-9274(01)00039-3","volume":"38","author":"BY Guo","year":"2001","unstructured":"Guo BY (2001) Gegenbauer approximation and its applications to differential equations with rough asymptotic behaviors at infinity. Appl Numer Math 38:403\u2013425","journal-title":"Appl Numer Math"},{"key":"1026_CR16","volume-title":"Chebyshev and Fourier spectral methods","author":"JP Boyd","year":"2000","unstructured":"Boyd JP (2000) Chebyshev and Fourier spectral methods, 2nd edn. Dover, New York","edition":"2"},{"key":"1026_CR17","doi-asserted-by":"crossref","first-page":"1337","DOI":"10.1137\/0142093","volume":"42","author":"CI Christov","year":"1982","unstructured":"Christov CI (1982) A complete orthogonal system of functions in $$L^2(-\\infty,\\infty )$$ space. SIAM J Appl Math 42:1337\u20131344","journal-title":"SIAM J Appl Math"},{"key":"1026_CR18","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/0021-9991(87)90002-7","volume":"70","author":"JP Boyd","year":"1987","unstructured":"Boyd JP (1987) Orthogonal rational functions on a semi-infinite interval. J Comput Phys 70:63\u201388","journal-title":"J Comput Phys"},{"key":"1026_CR19","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1016\/0021-9991(87)90158-6","volume":"69","author":"JP Boyd","year":"1987","unstructured":"Boyd JP (1987) Spectral methods using rational basis functions on an infinite interval. J Comput Phys 69:112\u2013142","journal-title":"J Comput Phys"},{"key":"1026_CR20","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1023\/A:1007698525506","volume":"15","author":"BY Guo","year":"2000","unstructured":"Guo BY, Shen J, Wang ZQ (2000) A rational approximation and its applications to differential equations on the half line. J Sci Comput 15:117\u2013147","journal-title":"J Sci Comput"},{"key":"1026_CR21","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1016\/S0021-9991(03)00127-X","volume":"188","author":"JP Boyd","year":"2003","unstructured":"Boyd JP, Rangan C, Bucksbaum PH (2003) Pseudospectral methods on a semi-infinite interval with application to the Hydrogen atom: a comparison of the mapped Fourier-sine method with Laguerre series and rational Chebyshev expansions. J Comput Phys 188:56\u201374","journal-title":"J Comput Phys"},{"key":"1026_CR22","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1080\/00207160310001606061b","volume":"81","author":"K Parand","year":"2004","unstructured":"Parand K, Razzaghi M (2004) Rational Chebyshev Tau method for solving higher-order ordinary differential equations. Int J Comput Math 81:73\u201380","journal-title":"Int J Comput Math"},{"key":"1026_CR23","first-page":"893","volume":"149","author":"K Parand","year":"2004","unstructured":"Parand K, Razzaghi M (2004) Rational Chebyshev Tau method for solving Volterra\u2019s population model. Appl Math Comput 149:893\u2013900","journal-title":"Appl Math Comput"},{"key":"1026_CR24","doi-asserted-by":"crossref","first-page":"1096","DOI":"10.1016\/j.cpc.2010.02.018","volume":"181","author":"K Parand","year":"2010","unstructured":"Parand K, Dehghan M, Rezaei AR, Ghaderi SM (2010) An approximational algorithm for the solution of the nonlinear Lane\u2013Emden type equations arising in astrophysics using Hermite functions collocation method. Comput Phys Commun 181:1096\u20131108","journal-title":"Comput Phys Commun"},{"key":"1026_CR25","doi-asserted-by":"crossref","first-page":"728","DOI":"10.1108\/09615531011065539","volume":"20","author":"K Parand","year":"2010","unstructured":"Parand K, Dehghan M, Taghavi A (2010) Modified generalized Laguerre function Tau method for solving laminar viscous flow: the Blasius equation. Int J Numer Methods Heat Fluid Flow 20:728\u2013743","journal-title":"Int J Numer Methods Heat Fluid Flow"},{"key":"1026_CR26","doi-asserted-by":"crossref","first-page":"665","DOI":"10.5560\/zna.2012-0065","volume":"67","author":"K Parand","year":"2012","unstructured":"Parand K, Nikarya M, Rad JA, Baharifard F (2012) A new reliable numerical algorithm based on the first kind of Bessel functions to solve Prandtl\u2013Blasius laminar viscous flow over a semi-infinite flat plate. Z Naturforsch A 67:665\u2013673","journal-title":"Z Naturforsch A"},{"key":"1026_CR27","doi-asserted-by":"crossref","first-page":"851","DOI":"10.1016\/j.apm.2012.02.041","volume":"37","author":"K Parand","year":"2013","unstructured":"Parand K, Dehghan M, Baharifard F (2013) Solving a laminar boundary layer equation with the rational Gegenbauer functions. Appl Math Model 37:851\u2013863","journal-title":"Appl Math Model"},{"key":"1026_CR28","first-page":"1","volume":"67","author":"F Baharifard","year":"2015","unstructured":"Baharifard F, Kazem S, Parand K (2015) Rational and exponential legendre Tau method on steady flow of a third grade fluid in a porous half space. Int J Appl Comput Math 67:1\u201320","journal-title":"Int J Appl Comput Math"},{"key":"1026_CR29","first-page":"1","volume":"36","author":"K Rabiei","year":"2019","unstructured":"Rabiei K, Parand K (2019) Collocation method to solve inequality-constrained optimal control problems of arbitrary order. Eng Comput 36:1\u201311","journal-title":"Eng Comput"},{"issue":"12","key":"1026_CR30","doi-asserted-by":"crossref","first-page":"3896","DOI":"10.1016\/j.camwa.2019.06.022","volume":"78","author":"T Gudi","year":"2019","unstructured":"Gudi T, Majumder P (2019) Conforming and discontinuous Galerkin FEM in space for solving parabolic obstacle problem. Comput Math Appl 78(12):3896\u20133915","journal-title":"Comput Math Appl"},{"issue":"4","key":"1026_CR31","first-page":"245","volume":"33","author":"M Modather","year":"2010","unstructured":"Modather M, Chamkha AJ (2010) An analytical study of MHD heat and mass transfer oscillatory flow of a micropolar fluid over a vertical permeable plate in a porous medium. Turk J Eng Environ Sci 33(4):245\u2013258","journal-title":"Turk J Eng Environ Sci"},{"issue":"8","key":"1026_CR32","doi-asserted-by":"crossref","first-page":"1658","DOI":"10.1016\/j.ijthermalsci.2008.12.018","volume":"48","author":"RA Damseh","year":"2009","unstructured":"Damseh RA, Al-Odat MQ, Chamkha AJ, Shannak BA (2009) Combined effect of heat generation or absorption and first-order chemical reaction on micropolar fluid flows over a uniformly stretched permeable surface. Int J Therm Sci 48(8):1658\u20131663","journal-title":"Int J Therm Sci"},{"key":"1026_CR33","first-page":"1","volume":"16","author":"AC Eringen","year":"1966","unstructured":"Eringen AC (1966) Theory of micropolar fluids. J Math Mech 16:1\u201318","journal-title":"J Math Mech"},{"key":"1026_CR34","volume-title":"Microcontinuum field theories: II. Fluent media","author":"AC Eringen","year":"2001","unstructured":"Eringen AC (2001) Microcontinuum field theories: II. Fluent media. Springer, New York"},{"key":"1026_CR35","volume-title":"Micropolar fluids, theory and applications, modeling and simulation in science, engineering and technology","author":"G \u0141ukaszewicz","year":"1999","unstructured":"\u0141ukaszewicz G (1999) Micropolar fluids, theory and applications, modeling and simulation in science, engineering and technology. Birkh\u00e4user, Boston"},{"key":"1026_CR36","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1016\/0020-7225(74)90059-7","volume":"12","author":"T Ariman","year":"1974","unstructured":"Ariman T, Turk MA, Sylvester ND (1974) Microcontinuum fluid mechanics\u2014a review. Int J Eng Sci 12:273\u2013293","journal-title":"Int J Eng Sci"},{"key":"1026_CR37","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1002\/aic.690070211","volume":"7","author":"BC Sakiadis","year":"1961","unstructured":"Sakiadis BC (1961) Boundary layer behavior on continuous solid surface; the boundary layer on a continuous flat surface. Am Inst Chem Eng J 7:221\u2013225","journal-title":"Am Inst Chem Eng J"},{"key":"1026_CR38","doi-asserted-by":"crossref","first-page":"961","DOI":"10.1016\/0020-7225(83)90072-1","volume":"21","author":"VM Soundalgekar","year":"1983","unstructured":"Soundalgekar VM, Takhar HS (1983) Boundary layer flow of a micropolar fluid on a continuous moving plate. Int J Eng Sci 21:961\u2013965","journal-title":"Int J Eng Sci"},{"key":"1026_CR39","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1007\/BF01587695","volume":"21","author":"LJ Crane","year":"1970","unstructured":"Crane LJ (1970) Flow past a stretching plate. Z Angew Math Phys 21:645\u2013647","journal-title":"Z Angew Math Phys"},{"key":"1026_CR40","doi-asserted-by":"crossref","first-page":"256","DOI":"10.1016\/j.powtec.2014.07.028","volume":"267","author":"MH Abolbashari","year":"2014","unstructured":"Abolbashari MH, Freidoonimehr N, Nazari F, Rashidi MM (2014) Entropy analysis for an unsteady MHD flow past a stretching permeable surface in nano-fluid. Powder Technol 267:256\u2013267","journal-title":"Powder Technol"},{"key":"1026_CR41","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1016\/j.ijthermalsci.2014.08.009","volume":"87","author":"N Freidoonimehr","year":"2015","unstructured":"Freidoonimehr N, Rashidi MM, Mahmud S (2015) Unsteady MHD free convective flow past a permeable stretching vertical surface in a nano-fluid. Int J Threm Sci 87:136\u2013145","journal-title":"Int J Threm Sci"},{"issue":"6","key":"1026_CR42","doi-asserted-by":"crossref","first-page":"846","DOI":"10.1080\/00986440903359087","volume":"197","author":"AJ Chamkha","year":"2010","unstructured":"Chamkha AJ, Aly AM, Mansour MA (2010) Similarity solution for unsteady heat and mass transfer from a stretching surface embedded in a porous medium with suction\/injection and chemical reaction effects. Chem Eng Commun 197(6):846\u2013858","journal-title":"Chem Eng Commun"},{"key":"1026_CR43","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/0020-7225(95)00058-5","volume":"34","author":"DAS Rees","year":"1996","unstructured":"Rees DAS, Bassom AP (1996) The Blasius boundary-layer flow of a micropolar fluid. Int J Eng Sci 34:113\u2013124","journal-title":"Int J Eng Sci"},{"key":"1026_CR44","doi-asserted-by":"crossref","first-page":"744","DOI":"10.1002\/cjce.5450550619","volume":"55","author":"P Gupta","year":"1977","unstructured":"Gupta P, Gupta A (1977) Heat and mass transfer on a stretching sheet with suction or blowing. Can J Chem Eng 55:744\u2013746","journal-title":"Can J Chem Eng"},{"key":"1026_CR45","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1007\/BF01176097","volume":"84","author":"IA Hassanien","year":"1990","unstructured":"Hassanien IA, Gorla RSR (1990) Heat transfer to a micropolar fluid from a nonisothermal stretching sheet with suction and blowing. Acta Mech 84:191\u2013203","journal-title":"Acta Mech"},{"key":"1026_CR46","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1108\/09615539610131299","volume":"6","author":"FM Hady","year":"1996","unstructured":"Hady FM (1996) On the solution of heat transfer to micropolar fluid from a nonisothermal stretching sheet with injection. Int J Numer Meth Heat Fluid Flow 6:99\u2013104","journal-title":"Int J Numer Meth Heat Fluid Flow"},{"key":"1026_CR47","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1007\/BF02172582","volume":"31","author":"C Perdikis","year":"1996","unstructured":"Perdikis C, Raptis A (1996) Heat transfer of a micropolar fluid by the presence of radiation. Heat Mass Transf 31:381\u2013382","journal-title":"Heat Mass Transf"},{"key":"1026_CR48","doi-asserted-by":"crossref","first-page":"2865","DOI":"10.1016\/S0017-9310(98)00006-4","volume":"41","author":"A Raptis","year":"1998","unstructured":"Raptis A (1998) Flow of a micropolar fluid past a continuously moving plate by the presence of radiation. Int J Heat Mass Transf 41:2865\u20132866","journal-title":"Int J Heat Mass Transf"},{"key":"1026_CR49","doi-asserted-by":"crossref","first-page":"1119","DOI":"10.1016\/S0735-1933(02)00440-2","volume":"29","author":"AJ Chamkha","year":"2002","unstructured":"Chamkha AJ (2002) Fully developed free convection of a micropolar fluid in a vertical channel. Int Commun Heat Mass Transf 29:1119\u20131127","journal-title":"Int Commun Heat Mass Transf"},{"key":"1026_CR50","doi-asserted-by":"crossref","first-page":"2331","DOI":"10.1016\/j.ijthermalsci.2009.05.003","volume":"48","author":"MM Rahman","year":"2009","unstructured":"Rahman MM, Uddin MJ, Aziz A (2009) Effects of variable electric conductivity and non-uniform heat source (or sink) on convective micropolar fluid flow along an inclined flat plate with surface heat flux. Int J Therm Sci 48:2331\u20132340","journal-title":"Int J Therm Sci"},{"key":"1026_CR51","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1016\/j.ijheatmasstransfer.2012.12.004","volume":"59","author":"J-K Zhang","year":"2013","unstructured":"Zhang J-K, Li B-W, Hu Z-M (2013) Effects of optical parameters on fluid flow and heat transfer of participating magnetic fluid. Int J Heat Mass Transf 59:126\u2013136","journal-title":"Int J Heat Mass Transf"},{"issue":"7","key":"1026_CR52","doi-asserted-by":"crossref","first-page":"848","DOI":"10.1016\/j.ijthermalsci.2007.07.004","volume":"47","author":"E Magyari","year":"2008","unstructured":"Magyari E, Chamkha AJ (2008) Exact analytical results for the thermosolutal MHD Marangoni boundary layers. Int J Therm Sci 47(7):848\u2013857","journal-title":"Int J Therm Sci"},{"issue":"13","key":"1026_CR53","first-page":"1511","volume":"40","author":"HS Takhar","year":"2002","unstructured":"Takhar HS, Chamkha AJ, Nath G (2002) MHD flow over a moving plate in a rotating fluid with magnetic field, Hall currents and free stream velocity. Int J Eng 40(13):1511\u2013152","journal-title":"Int J Eng"},{"issue":"13","key":"1026_CR54","first-page":"1723","volume":"37","author":"HS Takhar","year":"1999","unstructured":"Takhar HS, Chamkha AJ, Nath G (1999) Unsteady flow and heat transfer on a semi-infinite flat plate with an aligned magnetic field. Int J Eng 37(13):1723\u20131736","journal-title":"Int J Eng"},{"issue":"3","key":"1026_CR55","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1080\/00986445.2010.520232","volume":"198","author":"AJ Chamkha","year":"2010","unstructured":"Chamkha AJ, Aly AM (2010) MHD free convection flow of a nanofluid past a vertical plate in the presence of heat generation or absorption effects. Chem Eng Commun 198(3):425\u2013441","journal-title":"Chem Eng Commun"},{"key":"1026_CR56","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/S0375-9601(02)01513-X","volume":"306","author":"MA Seddeek","year":"2003","unstructured":"Seddeek MA (2003) Flow of a magneto-micropolar fluid past a continuously moving plate. Phys Lett A 306:255\u2013257","journal-title":"Phys Lett A"},{"key":"1026_CR57","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1016\/j.commatsci.2008.11.001","volume":"45","author":"MA Seddeek","year":"2009","unstructured":"Seddeek MA, Odda SN, Akl MY, Abdelmeguid MS (2009) Analytical solution for the effect of radiation on flow of a magneto-micropolar fluid past a continuously moving plate with suction and blowing. Comput Mater Sci 45:423\u2013428","journal-title":"Comput Mater Sci"},{"issue":"1","key":"1026_CR58","doi-asserted-by":"crossref","first-page":"27","DOI":"10.15388\/NA.2009.14.1.14528","volume":"14","author":"MEM Khedr","year":"2009","unstructured":"Khedr MEM, Chamkha AJ, Bayomi M (2009) MHD flow of a micropolar fluid past a stretched permeable surface with heat generation or absorption. Nonlinear Anal Model 14(1):27\u201340","journal-title":"Nonlinear Anal Model"},{"issue":"2","key":"1026_CR59","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1007\/s11012-010-9321-0","volume":"46","author":"AJ Chamkha","year":"2011","unstructured":"Chamkha AJ, Mohamed RA, Ahmed SE (2011) Unsteady MHD natural convection from a heated vertical porous plate in a micropolar fluid with Joule heating, chemical reaction and radiation effects. Meccanica 46(2):399\u2013411","journal-title":"Meccanica"},{"issue":"5","key":"1026_CR60","doi-asserted-by":"crossref","first-page":"1210","DOI":"10.1016\/j.cnsns.2009.05.049","volume":"15","author":"R Bhargava","year":"2010","unstructured":"Bhargava R, B\u00e9g OA, Sharma S, Zueco J (2010) Finite element study of nonlinear two-dimensional deoxygenated biomagnetic micropolar flow. Commun Nonlinear Sci 15(5):1210\u20131223","journal-title":"Commun Nonlinear Sci"},{"key":"1026_CR61","doi-asserted-by":"crossref","first-page":"1","DOI":"10.3390\/sym12010148","volume":"12","author":"KE Aslani","year":"2020","unstructured":"Aslani KE, Benos L, Tzirtzilakis E, Sarris IE (2020) Micromagnetorotation of MHD micropolar flows. Symmetry 12:1","journal-title":"Symmetry"},{"key":"1026_CR62","doi-asserted-by":"crossref","first-page":"562","DOI":"10.1108\/02644401211246283","volume":"6","author":"MM Rashidi","year":"2012","unstructured":"Rashidi MM, Erfani E (2012) Analytical method for solving steady MHD convective and slip flow due to a rotating disk with viscous dissipation and ohmic heating. Eng Comput 6:562\u2013579","journal-title":"Eng Comput"},{"key":"1026_CR63","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2012\/780415","volume":"2012","author":"MM Rashidi","year":"2012","unstructured":"Rashidi MM, Momoniat E, Rostami B (2012) Analytic approximate solutions for MHD boundary-layer viscoelastic fluid flow over continuously moving stretching surface by homotopy analysis method with two auxiliary parameters. J Appl Math 2012:1\u201319","journal-title":"J Appl Math"},{"key":"1026_CR64","first-page":"645","volume":"153","author":"A Raptis","year":"2004","unstructured":"Raptis A, Perdikis C, Takhar HS (2004) Effect of thermal radiation on MHD flow. Appl Math Comput 153:645\u2013649","journal-title":"Appl Math Comput"},{"key":"1026_CR65","volume-title":"Orthogonal polynomials","author":"G Szeg\u00f6","year":"1975","unstructured":"Szeg\u00f6 G (1975) Orthogonal polynomials, 4th edn. AMS Coll Publ, New York","edition":"4"},{"key":"1026_CR66","volume-title":"Handbook of mathematical functions","author":"I Stegun","year":"1968","unstructured":"Stegun I, Abramowitz M (1968) Handbook of mathematical functions. Dover, New York"},{"key":"1026_CR67","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/0021-9991(82)90102-4","volume":"45","author":"JP Boyd","year":"1982","unstructured":"Boyd JP (1982) The optimzation of convergence for Chebyshev polynomial methods in an unbounded domain. J Comput Phys 45:43\u201379","journal-title":"J Comput Phys"},{"key":"1026_CR68","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1186\/1687-1847-2012-219","volume":"2012","author":"DS Kim","year":"2012","unstructured":"Kim DS, Kim T, Rim SH (2012) Some identities involving Gegenbauer polynomials. Adv Differ Equ 2012:219","journal-title":"Adv Differ Equ"}],"container-title":["Engineering with Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-020-01026-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00366-020-01026-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-020-01026-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,2,22]],"date-time":"2022-02-22T01:04:29Z","timestamp":1645491869000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00366-020-01026-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,5,21]]},"references-count":68,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,2]]}},"alternative-id":["1026"],"URL":"https:\/\/doi.org\/10.1007\/s00366-020-01026-7","relation":{},"ISSN":["0177-0667","1435-5663"],"issn-type":[{"value":"0177-0667","type":"print"},{"value":"1435-5663","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,5,21]]},"assertion":[{"value":"6 January 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 April 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 May 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}