{"id":"https://openalex.org/W2750873015","doi":"https://doi.org/10.1080/00207160.2019.1612053","title":"An efficient computational technique based on cubic trigonometric B-splines for time fractional Burgers' equation","display_name":"An efficient computational technique based on cubic trigonometric B-splines for time fractional Burgers' equation","publication_year":2019,"publication_date":"2019-04-26","ids":{"openalex":"https://openalex.org/W2750873015","doi":"https://doi.org/10.1080/00207160.2019.1612053","mag":"2750873015"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2019.1612053","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1612053","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1709.01336","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084159509","display_name":"Muhammad Yaseen","orcid":"https://orcid.org/0000-0001-7999-2847"},"institutions":[{"id":"https://openalex.org/I160968435","display_name":"University of Sargodha","ror":"https://ror.org/0086rpr26","country_code":"PK","type":"education","lineage":["https://openalex.org/I160968435"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Yaseen","raw_affiliation_strings":["Department of Mathematics, University of Sargodha, Sargodha, Pakistan","Department of Mathematics, University of Sargodha, Sargodha-, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-7999-2847","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Sargodha, Sargodha, Pakistan","institution_ids":["https://openalex.org/I160968435"]},{"raw_affiliation_string":"Department of Mathematics, University of Sargodha, Sargodha-, Pakistan","institution_ids":["https://openalex.org/I160968435"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036734666","display_name":"Muhammad Abbas","orcid":"https://orcid.org/0000-0002-0491-1528"},"institutions":[{"id":"https://openalex.org/I160968435","display_name":"University of Sargodha","ror":"https://ror.org/0086rpr26","country_code":"PK","type":"education","lineage":["https://openalex.org/I160968435"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Abbas","raw_affiliation_strings":["Department of Mathematics, University of Sargodha, Sargodha, Pakistan","Department of Mathematics, University of Sargodha, Sargodha-, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-0491-1528","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Sargodha, Sargodha, Pakistan","institution_ids":["https://openalex.org/I160968435"]},{"raw_affiliation_string":"Department of Mathematics, University of Sargodha, Sargodha-, Pakistan","institution_ids":["https://openalex.org/I160968435"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036734666"],"corresponding_institution_ids":["https://openalex.org/I160968435"],"apc_list":null,"apc_paid":null,"fwci":0.1023,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.35954861,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"97","issue":"3","first_page":"725","last_page":"738"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998000264167786,"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":0.9998000264167786,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9940000176429749,"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"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.987500011920929,"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":0.7785800695419312},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6184399724006653},{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.6067990660667419},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.5701605081558228},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5389386415481567},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.48839205503463745},{"id":"https://openalex.org/keywords/b-spline","display_name":"B-spline","score":0.4839382767677307},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4698159992694855},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4046648144721985},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.22672563791275024}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7785800695419312},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6184399724006653},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.6067990660667419},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.5701605081558228},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5389386415481567},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48839205503463745},{"id":"https://openalex.org/C15945459","wikidata":"https://www.wikidata.org/wiki/Q2083109","display_name":"B-spline","level":2,"score":0.4839382767677307},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4698159992694855},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4046648144721985},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.22672563791275024},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/00207160.2019.1612053","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1612053","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1709.01336","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1709.01336","pdf_url":"https://arxiv.org/pdf/1709.01336","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2750873015","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1709.01336.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1709.01336","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1709.01336","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1709.01336","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1709.01336","pdf_url":"https://arxiv.org/pdf/1709.01336","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2750873015.pdf","grobid_xml":"https://content.openalex.org/works/W2750873015.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1966258563","https://openalex.org/W1969312973","https://openalex.org/W1980154613","https://openalex.org/W1987134951","https://openalex.org/W1988087043","https://openalex.org/W1998639892","https://openalex.org/W2000737269","https://openalex.org/W2001031344","https://openalex.org/W2004775905","https://openalex.org/W2005435055","https://openalex.org/W2008828676","https://openalex.org/W2019740517","https://openalex.org/W2031523249","https://openalex.org/W2034249681","https://openalex.org/W2042638660","https://openalex.org/W2056316273","https://openalex.org/W2062781606","https://openalex.org/W2064209745","https://openalex.org/W2065261142","https://openalex.org/W2066075687","https://openalex.org/W2067040719","https://openalex.org/W2078465472","https://openalex.org/W2085454505","https://openalex.org/W2090252778","https://openalex.org/W2091505322","https://openalex.org/W2095561603","https://openalex.org/W2130620182","https://openalex.org/W2136196792","https://openalex.org/W2162203906","https://openalex.org/W2162870748","https://openalex.org/W2256853616","https://openalex.org/W2300679090","https://openalex.org/W2480255231","https://openalex.org/W2565467677","https://openalex.org/W2609268354","https://openalex.org/W4212834435","https://openalex.org/W4301223505"],"related_works":["https://openalex.org/W2617920945","https://openalex.org/W2887674826","https://openalex.org/W3086751256","https://openalex.org/W2086594209","https://openalex.org/W2230205393","https://openalex.org/W2578648787","https://openalex.org/W3095083434","https://openalex.org/W3171485131","https://openalex.org/W2343573641","https://openalex.org/W3135675153","https://openalex.org/W2743535898","https://openalex.org/W2905788051","https://openalex.org/W3190015180","https://openalex.org/W288984631","https://openalex.org/W3096250225","https://openalex.org/W3182742846","https://openalex.org/W2296634883","https://openalex.org/W2114938628","https://openalex.org/W2904605076","https://openalex.org/W3160966024"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,24,108],"computational":[4,36],"technique":[5,27,66],"based":[6,110],"on":[7,111],"cubic":[8,60],"trigonometric":[9,61],"B-splines":[10],"for":[11],"the":[12,35,47,53,81,84,93,98,119],"time":[13,49],"fractional":[14,50],"Burgers'":[15],"equation.":[16],"The":[17,38,64,115],"nonlinear":[18],"advection":[19],"term":[20],"is":[21,29,43,57,67,77,122],"approximated":[22],"by":[23,107],"new":[25],"linearization":[26],"which":[28],"very":[30],"efficient":[31],"and":[32,95,125],"significantly":[33],"reduces":[34],"cost.":[37],"usual":[39],"finite":[40],"difference":[41],"formulation":[42],"used":[44],"to":[45,69,79,90],"approximate":[46],"Caputo":[48],"derivative":[51,54],"while":[52],"in":[55],"space":[56],"discretized":[58],"using":[59],"B-spline":[62],"functions.":[63,114],"proposed":[65,120],"proved":[68],"be":[70],"globally":[71],"unconditionally":[72],"stable.":[73],"A":[74],"convergence":[75],"analysis":[76],"discussed":[78],"measure":[80],"accuracy":[82,94],"of":[83,97],"solution.":[85],"Computational":[86],"experiments":[87],"are":[88,102],"performed":[89],"further":[91],"confirm":[92],"stability":[96],"method.":[99],"Numerical":[100],"results":[101],"compared":[103],"with":[104],"those":[105],"obtained":[106],"scheme":[109,121],"parametric":[112],"spline":[113],"comparison":[116],"reveals":[117],"that":[118],"quite":[123],"accurate":[124],"effective.":[126]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}