{"id":"https://openalex.org/W4403426714","doi":"https://doi.org/10.1007/s12190-024-02273-3","title":"Numerical simulations of Rosenau\u2013Burgers equations via Crank\u2013Nicolson spectral Pell matrix algorithm","display_name":"Numerical simulations of Rosenau\u2013Burgers equations via Crank\u2013Nicolson spectral Pell matrix algorithm","publication_year":2024,"publication_date":"2024-10-15","ids":{"openalex":"https://openalex.org/W4403426714","doi":"https://doi.org/10.1007/s12190-024-02273-3"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-024-02273-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02273-3","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023146926","display_name":"Mohammad Izadi","orcid":"https://orcid.org/0000-0002-6116-4928"},"institutions":[{"id":"https://openalex.org/I115566878","display_name":"Shahid Bahonar University of Kerman","ror":"https://ror.org/04zn42r77","country_code":"IR","type":"education","lineage":["https://openalex.org/I115566878"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mohammad Izadi","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran"],"raw_orcid":"https://orcid.org/0000-0002-6116-4928","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran","institution_ids":["https://openalex.org/I115566878"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079512627","display_name":"H. M. Srivastava","orcid":"https://orcid.org/0000-0002-9277-8092"},"institutions":[{"id":"https://openalex.org/I151221077","display_name":"Chung Yuan Christian University","ror":"https://ror.org/02w8ws377","country_code":"TW","type":"education","lineage":["https://openalex.org/I151221077"]},{"id":"https://openalex.org/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]},{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]},{"id":"https://openalex.org/I35928602","display_name":"Kyung Hee University","ror":"https://ror.org/01zqcg218","country_code":"KR","type":"education","lineage":["https://openalex.org/I35928602"]},{"id":"https://openalex.org/I4210126829","display_name":"China Medical University Hospital","ror":"https://ror.org/0368s4g32","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I4210126829"]},{"id":"https://openalex.org/I4210155399","display_name":"UniNettuno University","ror":"https://ror.org/04q0nep37","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210155399"]},{"id":"https://openalex.org/I87490745","display_name":"Azerbaijan University","ror":"https://ror.org/00g1psz15","country_code":"AZ","type":"education","lineage":["https://openalex.org/I87490745"]}],"countries":["AZ","CA","IT","KR","TW"],"is_corresponding":false,"raw_author_name":"Hari Mohan Srivastava","raw_affiliation_strings":["Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul, 02447, Republic of Korea","Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, Taoyuan City, 320314, Taiwan","Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007, Baku, Azerbaijan","Department of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, Canada","Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan","Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186, Roma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul, 02447, Republic of Korea","institution_ids":["https://openalex.org/I35928602"]},{"raw_affiliation_string":"Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, Taoyuan City, 320314, Taiwan","institution_ids":["https://openalex.org/I151221077"]},{"raw_affiliation_string":"Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007, Baku, Azerbaijan","institution_ids":["https://openalex.org/I87490745"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, Canada","institution_ids":["https://openalex.org/I212119943"]},{"raw_affiliation_string":"Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan","institution_ids":["https://openalex.org/I184693016","https://openalex.org/I4210126829"]},{"raw_affiliation_string":"Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186, Roma, Italy","institution_ids":["https://openalex.org/I4210155399"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056354637","display_name":"Kamal Mamehrashi","orcid":"https://orcid.org/0000-0003-3663-2424"},"institutions":[{"id":"https://openalex.org/I3151615967","display_name":"University of Kurdistan Hewler","ror":"https://ror.org/00268wk31","country_code":"IQ","type":"education","lineage":["https://openalex.org/I3151615967"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Kamal Mamehrashi","raw_affiliation_strings":["Mathematics Unit, School of Science and Engineering, University of Kurdistan-Hewl\u00ear, Erbil, Kurdistan Region, Iraq"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Unit, School of Science and Engineering, University of Kurdistan-Hewl\u00ear, Erbil, Kurdistan Region, Iraq","institution_ids":["https://openalex.org/I3151615967"]}]}],"institutions":[],"countries_distinct_count":7,"institutions_distinct_count":9,"corresponding_author_ids":["https://openalex.org/A5023146926"],"corresponding_institution_ids":["https://openalex.org/I115566878"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.8092,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.84987086,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"71","issue":"1","first_page":"1009","last_page":"1033"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9970999956130981,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8441728949546814},{"id":"https://openalex.org/keywords/crank\u2013nicolson-method","display_name":"Crank\u2013Nicolson method","score":0.7393035292625427},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7261465787887573},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5077679753303528},{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.4353097379207611},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43228456377983093},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41348642110824585},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38812941312789917},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.32938352227211},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24684810638427734},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1936250627040863},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.09546738862991333}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8441728949546814},{"id":"https://openalex.org/C180931078","wikidata":"https://www.wikidata.org/wiki/Q588725","display_name":"Crank\u2013Nicolson method","level":3,"score":0.7393035292625427},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7261465787887573},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5077679753303528},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.4353097379207611},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43228456377983093},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41348642110824585},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38812941312789917},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.32938352227211},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24684810638427734},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1936250627040863},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.09546738862991333},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-024-02273-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02273-3","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W88721985","https://openalex.org/W92678590","https://openalex.org/W1577242818","https://openalex.org/W1982841531","https://openalex.org/W1986573446","https://openalex.org/W2007407491","https://openalex.org/W2008322089","https://openalex.org/W2039243867","https://openalex.org/W2043800131","https://openalex.org/W2045255765","https://openalex.org/W2049538978","https://openalex.org/W2061327561","https://openalex.org/W2087772269","https://openalex.org/W2157763285","https://openalex.org/W2158523932","https://openalex.org/W2183891666","https://openalex.org/W2606161209","https://openalex.org/W2741508835","https://openalex.org/W2895447213","https://openalex.org/W2904055245","https://openalex.org/W2913476841","https://openalex.org/W3016581555","https://openalex.org/W3036787165","https://openalex.org/W3091247944","https://openalex.org/W3209768452","https://openalex.org/W4206275007","https://openalex.org/W4236695487","https://openalex.org/W4241341410","https://openalex.org/W4282826263","https://openalex.org/W4313478361","https://openalex.org/W4316469434","https://openalex.org/W4387936515","https://openalex.org/W4388551327","https://openalex.org/W4389510081","https://openalex.org/W4390973802","https://openalex.org/W4391109926","https://openalex.org/W4395691703","https://openalex.org/W4399239578","https://openalex.org/W4399575026","https://openalex.org/W4400489679","https://openalex.org/W4403205619"],"related_works":["https://openalex.org/W2809358748","https://openalex.org/W3157201843","https://openalex.org/W2047184675","https://openalex.org/W1818835172","https://openalex.org/W2065545353","https://openalex.org/W2143923370","https://openalex.org/W3199618180","https://openalex.org/W2543321342","https://openalex.org/W4231543271","https://openalex.org/W2039023896"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}