乐胖代购免代理版

{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,11,19]],"date-time":"2024-11-19T16:00:40Z","timestamp":1732032040175},"reference-count":38,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[2007,1,1]],"date-time":"2007-01-01T00:00:00Z","timestamp":1167609600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Computational Physics"],"published-print":{"date-parts":[[2007,1]]},"DOI":"10.1016\/j.jcp.2006.05.030","type":"journal-article","created":{"date-parts":[[2006,7,13]],"date-time":"2006-07-13T08:18:54Z","timestamp":1152778734000},"page":"813-823","source":"Crossref","is-referenced-by-count":268,"title":["A second-order accurate numerical method for the two-dimensional fractional diffusion equation"],"prefix":"10.1016","volume":"220","author":[{"given":"Charles","family":"Tadjeran","sequence":"first","affiliation":[]},{"given":"Mark M.","family":"Meerschaert","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.jcp.2006.05.030_bib1","first-page":"481","article-title":"Stochastic solutions for fractional Cauchy problems","volume":"4","author":"Baeumer","year":"2001","journal-title":"Frac. Calc. Appl. Anal."},{"key":"10.1016\/j.jcp.2006.05.030_bib2","doi-asserted-by":"crossref","first-page":"1543","DOI":"10.1029\/2000WR900409","article-title":"Subordinated advection\u2013dispersion equation for contaminant transport","volume":"37","author":"Baeumer","year":"2001","journal-title":"Water Resour. Res."},{"key":"10.1016\/j.jcp.2006.05.030_bib3","doi-asserted-by":"crossref","first-page":"2273","DOI":"10.1090\/S0002-9939-05-07949-9","article-title":"Space-time fractional derivative operators","volume":"133","author":"Baeumer","year":"2005","journal-title":"Proc. Am. Math. Soc."},{"key":"10.1016\/j.jcp.2006.05.030_bib4","doi-asserted-by":"crossref","first-page":"1403","DOI":"10.1029\/2000WR900031","article-title":"Application of a fractional advection\u2013dispersion equation","volume":"36","author":"Benson","year":"2000","journal-title":"Water Resour. Res."},{"key":"10.1016\/j.jcp.2006.05.030_bib5","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1023\/A:1006733002131","article-title":"Fractional dispersion, L\u00e9vy motions, and the MADE tracer tests","volume":"42","author":"Benson","year":"2001","journal-title":"Transport Porous Med."},{"key":"10.1016\/j.jcp.2006.05.030_bib6","doi-asserted-by":"crossref","first-page":"3763","DOI":"10.1029\/2000WR900261","article-title":"Fractional advection\u2013dispersion equation: A classical mass balance with convolution-Fickian flux","volume":"36","author":"Cushman","year":"2000","journal-title":"Water Resour. Res."},{"key":"10.1016\/j.jcp.2006.05.030_bib7","doi-asserted-by":"crossref","first-page":"743","DOI":"10.1016\/j.cma.2004.06.006","article-title":"Algorithms for the fractional calculus: a selection of numerical methods","volume":"194","author":"Diethelm","year":"2005","journal-title":"Comput. Meth. Appl. Mech. Eng."},{"issue":"9","key":"10.1016\/j.jcp.2006.05.030_bib8","doi-asserted-by":"crossref","first-page":"1563","DOI":"10.1142\/S0218202501001471","article-title":"Improved accuracy for locally one-dimensional methods for parabolic equations","volume":"11","author":"Douglas","year":"2001","journal-title":"Math. Mod. Meth. Appl. Sci."},{"key":"10.1016\/j.jcp.2006.05.030_bib9","unstructured":"V.J. Ervin, J.P. Roop, Variational solution of fractional advection dispersion equations on bounded domains in Rd. Numer. Meth. P.D.E., to appear."},{"key":"10.1016\/j.jcp.2006.05.030_bib10","series-title":"Fractional calculus and continuous-time finance. III. The diffusion limit. Mathematical finance (Konstanz, 2000), 171\u2013180","author":"Gorenflo","year":"2001"},{"key":"10.1016\/j.jcp.2006.05.030_bib11","series-title":"Analysis of Numerical Methods","author":"Isaacson","year":"1966"},{"key":"10.1016\/j.jcp.2006.05.030_bib12","doi-asserted-by":"crossref","first-page":"C461","DOI":"10.21914\/anziamj.v45i0.901","article-title":"Numerical simulation for solute transport in fractal porous media","volume":"45(E)","author":"Liu","year":"2004","journal-title":"ANZIAM J."},{"key":"10.1016\/j.jcp.2006.05.030_bib13","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1016\/j.cam.2003.09.028","article-title":"Numerical solution of the space fractional Fokker\u2013Planck equation","volume":"166","author":"Liu","year":"2004","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.jcp.2006.05.030_bib14","series-title":"Numerical Solution of Partial Differential Equations in Science and Engineering","author":"Lapidus","year":"1982"},{"key":"10.1016\/j.jcp.2006.05.030_bib15","doi-asserted-by":"crossref","first-page":"406","DOI":"10.1016\/j.jcp.2003.07.008","article-title":"Numerical methods for the solution of partial differential equations of fractional order","volume":"192","author":"Lynch","year":"2003","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2006.05.030_bib16","doi-asserted-by":"crossref","first-page":"468","DOI":"10.1016\/S0378-4371(00)00386-1","article-title":"Fractional calculus and continuous-time finance II: the waiting-time distribution","volume":"287","author":"Mainardi","year":"2000","journal-title":"Physica A"},{"key":"10.1016\/j.jcp.2006.05.030_bib17","doi-asserted-by":"crossref","first-page":"5026","DOI":"10.1103\/PhysRevE.59.5026","article-title":"Multidimensional advection and fractional dispersion","volume":"59","author":"Meerschaert","year":"1999","journal-title":"Phys. Rev. E"},{"key":"10.1016\/j.jcp.2006.05.030_bib18","doi-asserted-by":"crossref","first-page":"1112","DOI":"10.1103\/PhysRevE.63.021112","article-title":"Operator L\u00e9vy motion and multiscaling anomalous diffusion","volume":"63","author":"Meerschaert","year":"2001","journal-title":"Phys. Rev. E"},{"key":"10.1016\/j.jcp.2006.05.030_bib19","series-title":"Limit Distributions for Sums of Independent Random Vectors: Heavy Tails in Theory and Practice","author":"Meerschaert","year":"2001"},{"key":"10.1016\/j.jcp.2006.05.030_bib20","first-page":"27","article-title":"Semistable L\u00e9vy Motion","volume":"5","author":"Meerschaert","year":"2002","journal-title":"Frac. Calc. Appl. Anal."},{"key":"10.1016\/j.jcp.2006.05.030_bib21","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/j.cam.2004.01.033","article-title":"Finite difference approximations for fractional advection\u2013dispersion flow equations","volume":"172","author":"Meerschaert","year":"2004","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.jcp.2006.05.030_bib22","first-page":"61","article-title":"Vector Gr\u00fcnwald formula for fractional derivatives","volume":"7","author":"Meerschaert","year":"2004","journal-title":"J. Fract. Calc. Appl. Anal."},{"issue":"1","key":"10.1016\/j.jcp.2006.05.030_bib23","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1016\/j.apnum.2005.02.008","article-title":"Finite difference approximations for two-sided space-fractional partial differential equations","volume":"56","author":"Meerschaert","year":"2006","journal-title":"Appl. Numer. Math."},{"key":"10.1016\/j.jcp.2006.05.030_bib24","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1016\/j.jcp.2005.05.017","article-title":"Finite difference methods for two-dimensional fractional dispersion equation","volume":"211","author":"Meerschaert","year":"2006","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2006.05.030_bib25","doi-asserted-by":"crossref","first-page":"R161","DOI":"10.1088\/0305-4470\/37\/31\/R01","article-title":"The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics","volume":"37","author":"Metzler","year":"2004","journal-title":"J. Phys. A"},{"key":"10.1016\/j.jcp.2006.05.030_bib26","series-title":"An Introduction to the Fractional Calculus and Fractional Differential Equations","author":"Miller","year":"1993"},{"key":"10.1016\/j.jcp.2006.05.030_bib27","series-title":"Fractional Differential Equations","author":"Podlubny","year":"1999"},{"key":"10.1016\/j.jcp.2006.05.030_bib28","doi-asserted-by":"crossref","first-page":"749","DOI":"10.1016\/S0378-4371(02)01048-8","article-title":"Waiting-times and returns in high-frequency financial data: an empirical study","volume":"314","author":"Raberto","year":"2002","journal-title":"Physica A"},{"key":"10.1016\/j.jcp.2006.05.030_bib29","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/j.cam.2005.06.005","article-title":"Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in R2","volume":"193","author":"Roop","year":"2006","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.jcp.2006.05.030_bib30","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1140\/epjb\/e20020151","article-title":"Waiting time distributions in financial markets","volume":"27","author":"Sabatelli","year":"2002","journal-title":"Eur. Phys. J. B"},{"key":"10.1016\/j.jcp.2006.05.030_bib31","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1016\/S0378-4371(00)00255-7","article-title":"Fractional calculus and continuous-time finance","volume":"284","author":"Scalas","year":"2000","journal-title":"Phys. A"},{"key":"10.1016\/j.jcp.2006.05.030_bib32","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/S0169-7722(00)00170-4","article-title":"Eulerian derivation of the fractional advection\u2013dispersion equation","volume":"48","author":"Schumer","year":"2001","journal-title":"J. Contam. Hydrol."},{"key":"10.1016\/j.jcp.2006.05.030_bib33","doi-asserted-by":"crossref","first-page":"1022","DOI":"10.1029\/2001WR001229","article-title":"Multiscaling fractional advection\u2013dispersion equations and their solutions","volume":"39","author":"Schumer","year":"2003","journal-title":"Water Resour. Res."},{"key":"10.1016\/j.jcp.2006.05.030_bib34","series-title":"Fractional Integrals and derivatives: Theory and Applications","author":"Samko","year":"1993"},{"key":"10.1016\/j.jcp.2006.05.030_bib35","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/j.jcp.2005.08.008","article-title":"A second order accurate numerical approximation for the fractional diffusion equation","volume":"213","author":"Tadjeran","year":"2006","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.jcp.2006.05.030_bib36","doi-asserted-by":"crossref","first-page":"1862","DOI":"10.1137\/030602666","article-title":"An explicit finite difference method and a new von Neumann type stability analysis for fractional diffusion equations","volume":"42","author":"Yuste","year":"2005","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.jcp.2006.05.030_bib37","series-title":"Matrix Iterative Analysis","author":"Varga","year":"1962"},{"key":"10.1016\/j.jcp.2006.05.030_bib38","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/s10955-006-9042-x","article-title":"On using random walks to solve the space-fractional advection\u2013dispersion equations","volume":"123","author":"Zhang","year":"2006","journal-title":"J. Statist. Phys."}],"container-title":["Journal of Computational Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0021999106002610?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0021999106002610?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,1,14]],"date-time":"2019-01-14T21:59:22Z","timestamp":1547503162000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0021999106002610"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,1]]},"references-count":38,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2007,1]]}},"alternative-id":["S0021999106002610"],"URL":"https:\/\/doi.org\/10.1016\/j.jcp.2006.05.030","relation":{},"ISSN":["0021-9991"],"issn-type":[{"value":"0021-9991","type":"print"}],"subject":[],"published":{"date-parts":[[2007,1]]}}}