{"id":"https://openalex.org/W4295021230","doi":"https://doi.org/10.1016/j.cnsns.2022.106873","title":"A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schr\u00f6dinger equation","display_name":"A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schr\u00f6dinger equation","publication_year":2022,"publication_date":"2022-09-09","ids":{"openalex":"https://openalex.org/W4295021230","doi":"https://doi.org/10.1016/j.cnsns.2022.106873"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2022.106873","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"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":null,"license_id":null,"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.cnsns.2022.106873","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074418418","display_name":"Mohammad Heydari","orcid":"https://orcid.org/0000-0001-6764-4394"},"institutions":[{"id":"https://openalex.org/I204490172","display_name":"Shiraz University of Technology","ror":"https://ror.org/04bxa3v83","country_code":"IR","type":"funder","lineage":["https://openalex.org/I204490172"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"M.H. Heydari","raw_affiliation_strings":["Department of Mathematics, Shiraz University of Technology, Shiraz, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shiraz University of Technology, Shiraz, Iran","institution_ids":["https://openalex.org/I204490172"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027384845","display_name":"Mohsen Razzaghi","orcid":"https://orcid.org/0000-0002-2189-0802"},"institutions":[{"id":"https://openalex.org/I99041443","display_name":"Mississippi State University","ror":"https://ror.org/0432jq872","country_code":"US","type":"funder","lineage":["https://openalex.org/I4210141039","https://openalex.org/I99041443"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Razzaghi","raw_affiliation_strings":["Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA","institution_ids":["https://openalex.org/I99041443"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030756029","display_name":"Dumitru B\u0103leanu","orcid":"https://orcid.org/0000-0002-0286-7244"},"institutions":[{"id":"https://openalex.org/I56306041","display_name":"Lebanese American University","ror":"https://ror.org/00hqkan37","country_code":"LB","type":"funder","lineage":["https://openalex.org/I56306041"]},{"id":"https://openalex.org/I106245021","display_name":"\u00c7ankaya University","ror":"https://ror.org/056wqre19","country_code":"TR","type":"funder","lineage":["https://openalex.org/I106245021"]},{"id":"https://openalex.org/I4210142834","display_name":"Institute of Space Science - INFLPR Subsidiary","ror":"https://ror.org/054a6wv56","country_code":"RO","type":"government","lineage":["https://openalex.org/I4210142834"]}],"countries":["LB","RO","TR"],"is_corresponding":false,"raw_author_name":"D. Baleanu","raw_affiliation_strings":["Department of Mathematics, Cankaya University, Ankara, Turkey","Institute of Space Sciences, Magurele-Bucharest, R76900, Romania","Lebanese American University, Beirut, Lebanon"],"affiliations":[{"raw_affiliation_string":"Lebanese American University, Beirut, Lebanon","institution_ids":["https://openalex.org/I56306041"]},{"raw_affiliation_string":"Department of Mathematics, Cankaya University, Ankara, Turkey","institution_ids":["https://openalex.org/I106245021"]},{"raw_affiliation_string":"Institute of Space Sciences, Magurele-Bucharest, R76900, Romania","institution_ids":["https://openalex.org/I4210142834"]}]}],"institution_assertions":[],"countries_distinct_count":5,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5074418418"],"corresponding_institution_ids":["https://openalex.org/I204490172"],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":null,"fwci":4.019,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.999801,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"116","issue":null,"first_page":"106873","last_page":"106873"},"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/T11081","display_name":"Advanced Control Systems Design","score":0.9837,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9781,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.46744335},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.45038393}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7819885},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7450821},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.72959256},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.56339085},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.53046334},{"id":"https://openalex.org/C48490523","wikidata":"https://www.wikidata.org/wiki/Q371631","display_name":"Jacobi polynomials","level":3,"score":0.49355423},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.46744335},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.45038393},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.44705385},{"id":"https://openalex.org/C167196314","wikidata":"https://www.wikidata.org/wiki/Q767680","display_name":"Gaussian quadrature","level":4,"score":0.4130223},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3712052},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.25598413},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.12802511},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.116065145},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2022.106873","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2022.106873","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":33,"referenced_works":["https://openalex.org/W1982555805","https://openalex.org/W1994916853","https://openalex.org/W2000805234","https://openalex.org/W2001139720","https://openalex.org/W2006165875","https://openalex.org/W2006281429","https://openalex.org/W2009505914","https://openalex.org/W2029497261","https://openalex.org/W2038084449","https://openalex.org/W2086396968","https://openalex.org/W2182721444","https://openalex.org/W2183680916","https://openalex.org/W2259227674","https://openalex.org/W2319762022","https://openalex.org/W2599710678","https://openalex.org/W2609290290","https://openalex.org/W2759914387","https://openalex.org/W2780091894","https://openalex.org/W2799823613","https://openalex.org/W2806563100","https://openalex.org/W2884204858","https://openalex.org/W2884955154","https://openalex.org/W2888834831","https://openalex.org/W2942673381","https://openalex.org/W2948414694","https://openalex.org/W2959377831","https://openalex.org/W2983968198","https://openalex.org/W2999530202","https://openalex.org/W3094284382","https://openalex.org/W3175290583","https://openalex.org/W3198946050","https://openalex.org/W3202018669","https://openalex.org/W4213059792"],"related_works":["https://openalex.org/W77294230","https://openalex.org/W4212943903","https://openalex.org/W3029641238","https://openalex.org/W2408140492","https://openalex.org/W2159126240","https://openalex.org/W2117387008","https://openalex.org/W2105364485","https://openalex.org/W2096954214","https://openalex.org/W2084610966","https://openalex.org/W2037752556"],"abstract_inverted_index":null,"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4295021230","counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":1}],"updated_date":"2025-04-13T06:22:42.662971","created_date":"2022-09-09"}