{"id":"https://openalex.org/W2561161192","doi":"https://doi.org/10.1016/j.cam.2016.11.035","title":"Accurate solution of the Thomas\u2013Fermi equation using the fractional order of rational Chebyshev functions","display_name":"Accurate solution of the Thomas\u2013Fermi equation using the fractional order of rational Chebyshev functions","publication_year":2016,"publication_date":"2016-12-22","ids":{"openalex":"https://openalex.org/W2561161192","doi":"https://doi.org/10.1016/j.cam.2016.11.035","mag":"2561161192"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cam.2016.11.035","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/j.cam.2016.11.035","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090033177","display_name":"Kourosh Parand","orcid":"https://orcid.org/0000-0001-5946-0771"},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]},{"id":"https://openalex.org/I3145578848","display_name":"Institute for Cognitive Science Studies","ror":"https://ror.org/0378cd528","country_code":"IR","type":"facility","lineage":["https://openalex.org/I3145578848"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Kourosh Parand","raw_affiliation_strings":["Department of Cognitive Modelling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, G.C, Tehran, Iran","Department of Computer Sciences, Shahid Beheshti University, G.C., Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, Shahid Beheshti University, G.C., Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]},{"raw_affiliation_string":"Department of Cognitive Modelling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, G.C, Tehran, Iran","institution_ids":["https://openalex.org/I3145578848","https://openalex.org/I48379061"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004680122","display_name":"Mehdi Delkhosh","orcid":"https://orcid.org/0000-0001-6632-4743"},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mehdi Delkhosh","raw_affiliation_strings":["Department of Computer Sciences, Shahid Beheshti University, G.C., Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, Shahid Beheshti University, G.C., Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090033177"],"corresponding_institution_ids":["https://openalex.org/I48379061","https://openalex.org/I3145578848"],"apc_list":{"value":3040,"currency":"USD","value_usd":3040,"provenance":"doaj"},"apc_paid":null,"fwci":4.97,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":59,"citation_normalized_percentile":{"value":0.853258,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"317","issue":null,"first_page":"624","last_page":"642"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9999,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9999,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9985,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9978,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.45633855},{"id":"https://openalex.org/keywords/orthogonal-collocation","display_name":"Orthogonal collocation","score":0.4445657}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.89297485},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.61152834},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.55658907},{"id":"https://openalex.org/C142484921","wikidata":"https://www.wikidata.org/wiki/Q3890369","display_name":"Chebyshev equation","level":4,"score":0.55062246},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5371469},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.5259069},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.49630672},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4947769},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.45633855},{"id":"https://openalex.org/C114609681","wikidata":"https://www.wikidata.org/wiki/Q24839227","display_name":"Orthogonal collocation","level":5,"score":0.4445657},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.43442264},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.43358186},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.38025877},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33265352},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.19920635},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.10142243},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62649853","wikidata":"https://www.wikidata.org/wiki/Q199687","display_name":"Remote sensing","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cam.2016.11.035","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cam.2016.11.035","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":129,"referenced_works":["https://openalex.org/W1127059787","https://openalex.org/W119916070","https://openalex.org/W1549776755","https://openalex.org/W1565299123","https://openalex.org/W1570210712","https://openalex.org/W1574636761","https://openalex.org/W1586661485","https://openalex.org/W1599524282","https://openalex.org/W1677218873","https://openalex.org/W1805381866","https://openalex.org/W1869875833","https://openalex.org/W1911022301","https://openalex.org/W1965032003","https://openalex.org/W1966717126","https://openalex.org/W1968893695","https://openalex.org/W1970828314","https://openalex.org/W1974756925","https://openalex.org/W1980778096","https://openalex.org/W1982098251","https://openalex.org/W1982558151","https://openalex.org/W1983731610","https://openalex.org/W1991100480","https://openalex.org/W1993244739","https://openalex.org/W1994371245","https://openalex.org/W1996524690","https://openalex.org/W1996615382","https://openalex.org/W1997130339","https://openalex.org/W1997969926","https://openalex.org/W2003806194","https://openalex.org/W2004841833","https://openalex.org/W2007254031","https://openalex.org/W2009501903","https://openalex.org/W2012223470","https://openalex.org/W2012466442","https://openalex.org/W2013282326","https://openalex.org/W2014879980","https://openalex.org/W2016057783","https://openalex.org/W2016987845","https://openalex.org/W2018045262","https://openalex.org/W2018893257","https://openalex.org/W2021174376","https://openalex.org/W2021385224","https://openalex.org/W2022056620","https://openalex.org/W2025738690","https://openalex.org/W2029638418","https://openalex.org/W2030834186","https://openalex.org/W2033853386","https://openalex.org/W2033942740","https://openalex.org/W2034027341","https://openalex.org/W2035155528","https://openalex.org/W2036032876","https://openalex.org/W2036363161","https://openalex.org/W2036492527","https://openalex.org/W2038085732","https://openalex.org/W2039808524","https://openalex.org/W2040329976","https://openalex.org/W2041431731","https://openalex.org/W2041544652","https://openalex.org/W2043617602","https://openalex.org/W2047035089","https://openalex.org/W2047877145","https://openalex.org/W2052507692","https://openalex.org/W2053353862","https://openalex.org/W2054683747","https://openalex.org/W2055528045","https://openalex.org/W2055563526","https://openalex.org/W2056515188","https://openalex.org/W2058866225","https://openalex.org/W2059998776","https://openalex.org/W2061446273","https://openalex.org/W2063292380","https://openalex.org/W2064085340","https://openalex.org/W2064785338","https://openalex.org/W2065378774","https://openalex.org/W2065815683","https://openalex.org/W2066068669","https://openalex.org/W2067233348","https://openalex.org/W2067707414","https://openalex.org/W2070287549","https://openalex.org/W2073182577","https://openalex.org/W2073476719","https://openalex.org/W2074078622","https://openalex.org/W2074797641","https://openalex.org/W2074872506","https://openalex.org/W2075005070","https://openalex.org/W2076946206","https://openalex.org/W2079843014","https://openalex.org/W2080045726","https://openalex.org/W2081462888","https://openalex.org/W2081668429","https://openalex.org/W2081951485","https://openalex.org/W2082656177","https://openalex.org/W2084639899","https://openalex.org/W2087226000","https://openalex.org/W2089239540","https://openalex.org/W2089293942","https://openalex.org/W2090561712","https://openalex.org/W2090804152","https://openalex.org/W2091476700","https://openalex.org/W2095947114","https://openalex.org/W2098558787","https://openalex.org/W2114306055","https://openalex.org/W2126992000","https://openalex.org/W2141112962","https://openalex.org/W2143079075","https://openalex.org/W2146747898","https://openalex.org/W2154763189","https://openalex.org/W2156352382","https://openalex.org/W2162898024","https://openalex.org/W2164247228","https://openalex.org/W2165917005","https://openalex.org/W2177683616","https://openalex.org/W2277823339","https://openalex.org/W2285039827","https://openalex.org/W2340668186","https://openalex.org/W2416537707","https://openalex.org/W2564345255","https://openalex.org/W2593968251","https://openalex.org/W2743472384","https://openalex.org/W2962875170","https://openalex.org/W2964076972","https://openalex.org/W3100811423","https://openalex.org/W3103817515","https://openalex.org/W3106296080","https://openalex.org/W3151761525","https://openalex.org/W4205605822","https://openalex.org/W4285719527","https://openalex.org/W865932272","https://openalex.org/W898723118"],"related_works":["https://openalex.org/W4206513033","https://openalex.org/W3048174355","https://openalex.org/W2890254931","https://openalex.org/W2296924041","https://openalex.org/W2179563627","https://openalex.org/W2172024322","https://openalex.org/W2136729106","https://openalex.org/W2135245226","https://openalex.org/W1848947320","https://openalex.org/W1482343169"],"abstract_inverted_index":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2561161192","counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":18},{"year":2017,"cited_by_count":10}],"updated_date":"2024-12-09T17:26:02.653548","created_date":"2017-01-06"}