{"id":"https://openalex.org/W4414149668","doi":"https://doi.org/10.1007/s40314-025-03418-1","title":"An efficient numerical treatment of variable-order time fractional advection\u2013diffusion equation","display_name":"An efficient numerical treatment of variable-order time fractional advection\u2013diffusion equation","publication_year":2025,"publication_date":"2025-09-12","ids":{"openalex":"https://openalex.org/W4414149668","doi":"https://doi.org/10.1007/s40314-025-03418-1"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-025-03418-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03418-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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/A5061264847","display_name":"Fouad Mohammad Salama","orcid":"https://orcid.org/0000-0003-3826-4880"},"institutions":[{"id":"https://openalex.org/I134085113","display_name":"King Fahd University of Petroleum and Minerals","ror":"https://ror.org/03yez3163","country_code":"SA","type":"education","lineage":["https://openalex.org/I134085113"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Fouad Mohammad Salama","raw_affiliation_strings":["Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-3826-4880","affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia","institution_ids":["https://openalex.org/I134085113"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5061264847"],"corresponding_institution_ids":["https://openalex.org/I134085113"],"apc_list":null,"apc_paid":null,"fwci":2.0428,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.86924561,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"45","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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":1.0,"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":0.984499990940094,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9836000204086304,"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/convergence","display_name":"Convergence (economics)","score":0.6504999995231628},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5828999876976013},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.5615000128746033},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5083000063896179},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.49619999527931213},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4855000078678131},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4607999920845032},{"id":"https://openalex.org/keywords/finite-difference-scheme","display_name":"Finite difference scheme","score":0.44339999556541443},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.43959999084472656}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.71670001745224},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6504999995231628},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5828999876976013},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.5615000128746033},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.553600013256073},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5083000063896179},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.49619999527931213},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4855000078678131},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4607999920845032},{"id":"https://openalex.org/C2988766672","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference scheme","level":2,"score":0.44339999556541443},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.43959999084472656},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4293999969959259},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.3937999904155731},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.37279999256134033},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3483999967575073},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.34470000863075256},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34200000762939453},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.33090001344680786},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.32409998774528503},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.32330000400543213},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31049999594688416},{"id":"https://openalex.org/C108268861","wikidata":"https://www.wikidata.org/wiki/Q1747602","display_name":"Finite difference coefficient","level":4,"score":0.3091999888420105},{"id":"https://openalex.org/C164602753","wikidata":"https://www.wikidata.org/wiki/Q567544","display_name":"Anomalous diffusion","level":3,"score":0.2824999988079071},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2791999876499176},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.2766999900341034},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.2757999897003174},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2590999901294708},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.2517000138759613}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-025-03418-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03418-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1515585842","https://openalex.org/W1553338987","https://openalex.org/W1571391776","https://openalex.org/W1985968362","https://openalex.org/W2016998013","https://openalex.org/W2017663693","https://openalex.org/W2084181523","https://openalex.org/W2158629510","https://openalex.org/W2567309135","https://openalex.org/W2601612027","https://openalex.org/W2801192398","https://openalex.org/W2896885197","https://openalex.org/W2915807213","https://openalex.org/W2923505959","https://openalex.org/W3005710824","https://openalex.org/W3027817760","https://openalex.org/W3033676193","https://openalex.org/W3034738728","https://openalex.org/W3120841798","https://openalex.org/W3136928437","https://openalex.org/W3166864375","https://openalex.org/W3171714365","https://openalex.org/W3181802941","https://openalex.org/W3187784755","https://openalex.org/W3196239614","https://openalex.org/W3213062299","https://openalex.org/W4220681123","https://openalex.org/W4238975139","https://openalex.org/W4285307188","https://openalex.org/W4285491006","https://openalex.org/W4289798260","https://openalex.org/W4310256056","https://openalex.org/W4313627310","https://openalex.org/W4313891893","https://openalex.org/W4360616077","https://openalex.org/W4366334216","https://openalex.org/W4368407086","https://openalex.org/W4378893195","https://openalex.org/W4402979387","https://openalex.org/W4405472609","https://openalex.org/W4410780757"],"related_works":["https://openalex.org/W3036101264","https://openalex.org/W2163151373","https://openalex.org/W1986676657","https://openalex.org/W4238257821","https://openalex.org/W2165001118","https://openalex.org/W1734603769","https://openalex.org/W4213231742","https://openalex.org/W2922935260","https://openalex.org/W2066116605","https://openalex.org/W1592131421"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
