{"id":"https://openalex.org/W4407310346","doi":"https://doi.org/10.1007/s40314-025-03123-z","title":"Mapped Legendre-spectral method for high-dimensional multi-term time-fractional diffusion-wave equation with non-smooth solution","display_name":"Mapped Legendre-spectral method for high-dimensional multi-term time-fractional diffusion-wave equation with non-smooth solution","publication_year":2025,"publication_date":"2025-02-11","ids":{"openalex":"https://openalex.org/W4407310346","doi":"https://doi.org/10.1007/s40314-025-03123-z"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-025-03123-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03123-z","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/A5075759131","display_name":"H. Moussa","orcid":"https://orcid.org/0000-0002-4830-2900"},"institutions":[{"id":"https://openalex.org/I130009713","display_name":"Suez University","ror":"https://ror.org/00ndhrx30","country_code":"EG","type":"education","lineage":["https://openalex.org/I130009713"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"H. Moussa","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Galala University, Suez, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Galala University, Suez, Egypt","institution_ids":["https://openalex.org/I130009713"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061889035","display_name":"M. A. Saker","orcid":"https://orcid.org/0000-0002-3496-0814"},"institutions":[{"id":"https://openalex.org/I206935292","display_name":"Shaqra University","ror":"https://ror.org/05hawb687","country_code":"SA","type":"education","lineage":["https://openalex.org/I206935292"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"M. A. Saker","raw_affiliation_strings":["Mathematics Department, Faculty of Sciences and Humanities, Shaqra University, Shaqra, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Sciences and Humanities, Shaqra University, Shaqra, Saudi Arabia","institution_ids":["https://openalex.org/I206935292"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002925617","display_name":"Mahmoud A. Zaky","orcid":null},"institutions":[{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"M. A. Zaky","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037781164","display_name":"Mohammed M. Babatin","orcid":"https://orcid.org/0000-0002-7016-5324"},"institutions":[{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"M. Babatin","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031830885","display_name":"S. S. Ezz\u2010Eldien","orcid":null},"institutions":[{"id":"https://openalex.org/I189575948","display_name":"South Valley University","ror":"https://ror.org/00jxshx33","country_code":"EG","type":"education","lineage":["https://openalex.org/I189575948"]},{"id":"https://openalex.org/I4387155039","display_name":"New Valley University","ror":"https://ror.org/04349ry21","country_code":null,"type":"education","lineage":["https://openalex.org/I4387155039"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"S. S. Ezz-Eldien","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, New Valley University, El-Kharga, 72511, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, New Valley University, El-Kharga, 72511, Egypt","institution_ids":["https://openalex.org/I189575948","https://openalex.org/I4387155039"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5075759131"],"corresponding_institution_ids":["https://openalex.org/I130009713"],"apc_list":null,"apc_paid":null,"fwci":19.5774,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.99638688,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"44","issue":"4","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/T10514","display_name":"Numerical methods in engineering","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9976999759674072,"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/legendre-polynomials","display_name":"Legendre polynomials","score":0.7770326137542725},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.7565180063247681},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6260904669761658},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5910235643386841},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.539328932762146},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5116932392120361},{"id":"https://openalex.org/keywords/associated-legendre-polynomials","display_name":"Associated Legendre polynomials","score":0.42778444290161133},{"id":"https://openalex.org/keywords/legendres-equation","display_name":"Legendre's equation","score":0.41206085681915283},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37571921944618225},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3136032819747925},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08783972263336182},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06266066431999207}],"concepts":[{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.7770326137542725},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.7565180063247681},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6260904669761658},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5910235643386841},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.539328932762146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5116932392120361},{"id":"https://openalex.org/C36956377","wikidata":"https://www.wikidata.org/wiki/Q228376","display_name":"Associated Legendre polynomials","level":5,"score":0.42778444290161133},{"id":"https://openalex.org/C86287605","wikidata":"https://www.wikidata.org/wiki/Q4454970","display_name":"Legendre's equation","level":3,"score":0.41206085681915283},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37571921944618225},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3136032819747925},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08783972263336182},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06266066431999207},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.0},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"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/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-025-03123-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-025-03123-z","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":[{"id":"https://openalex.org/G577465324","display_name":null,"funder_award_id":"IMSIU-DDRSP2501","funder_id":"https://openalex.org/F2666706692","funder_display_name":"Deanship of Scientific Research, Imam Mohammed Ibn Saud Islamic University"}],"funders":[{"id":"https://openalex.org/F2666706692","display_name":"Deanship of Scientific Research, Imam Mohammed Ibn Saud Islamic University","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W433794350","https://openalex.org/W1183661491","https://openalex.org/W1864373093","https://openalex.org/W1983159263","https://openalex.org/W2032495860","https://openalex.org/W2052623210","https://openalex.org/W2578293889","https://openalex.org/W2589697132","https://openalex.org/W2767804429","https://openalex.org/W2799781908","https://openalex.org/W2804910861","https://openalex.org/W2898200204","https://openalex.org/W2941144190","https://openalex.org/W3009429785","https://openalex.org/W3021832072","https://openalex.org/W3042457516","https://openalex.org/W3157859745","https://openalex.org/W4214633125","https://openalex.org/W4281892374","https://openalex.org/W4282022362","https://openalex.org/W4289346160","https://openalex.org/W4366453115","https://openalex.org/W4386810786","https://openalex.org/W4388502354","https://openalex.org/W4389203348","https://openalex.org/W4390674884","https://openalex.org/W4390729216","https://openalex.org/W4391466527","https://openalex.org/W4394991411","https://openalex.org/W4400422731","https://openalex.org/W4405041668","https://openalex.org/W4405125876"],"related_works":["https://openalex.org/W1607269076","https://openalex.org/W2953361964","https://openalex.org/W2545227774","https://openalex.org/W2021432593","https://openalex.org/W2323274059","https://openalex.org/W4296546724","https://openalex.org/W1522620469","https://openalex.org/W3200178185","https://openalex.org/W2034418652","https://openalex.org/W2106102602"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":14}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
