{"id":"https://openalex.org/W4400522821","doi":"https://doi.org/10.1007/s12190-024-02177-2","title":"An efficient algorithm for solving the variable-order time-fractional generalized Burgers\u2019 equation","display_name":"An efficient algorithm for solving the variable-order time-fractional generalized Burgers\u2019 equation","publication_year":2024,"publication_date":"2024-07-11","ids":{"openalex":"https://openalex.org/W4400522821","doi":"https://doi.org/10.1007/s12190-024-02177-2"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-024-02177-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02177-2","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["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/A5005011251","display_name":"Mukesh Kumar Rawani","orcid":"https://orcid.org/0000-0002-2807-3231"},"institutions":[{"id":"https://openalex.org/I96307353","display_name":"Tilka Manjhi Bhagalpur University","ror":"https://ror.org/009p4eg54","country_code":"IN","type":"education","lineage":["https://openalex.org/I96307353"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mukesh Kumar Rawani","raw_affiliation_strings":["Department of Mathematics, Bhagalpur College of Engineering, Bhagalpur, Bihar, 813210, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bhagalpur College of Engineering, Bhagalpur, Bihar, 813210, India","institution_ids":["https://openalex.org/I96307353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022928434","display_name":"Amit K. Verma","orcid":"https://orcid.org/0000-0001-8768-094X"},"institutions":[{"id":"https://openalex.org/I132153292","display_name":"Indian Institute of Technology Patna","ror":"https://ror.org/01ft5vz71","country_code":"IN","type":"education","lineage":["https://openalex.org/I132153292"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Amit Kumar Verma","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Patna, Patna, Bihar, 801106, India"],"raw_orcid":"https://orcid.org/0000-0001-8768-094X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Patna, Patna, Bihar, 801106, India","institution_ids":["https://openalex.org/I132153292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022405104","display_name":"Carlo Cattani","orcid":"https://orcid.org/0000-0002-7504-0424"},"institutions":[{"id":"https://openalex.org/I138938424","display_name":"Universit\u00e0 degli Studi della Tuscia","ror":"https://ror.org/03svwq685","country_code":"IT","type":"education","lineage":["https://openalex.org/I138938424"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Carlo Cattani","raw_affiliation_strings":["Engineering School (DEIM), University of Tuscia, Largo dell\u2019Universit\u00e1, 01100, Viterbo, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Engineering School (DEIM), University of Tuscia, Largo dell\u2019Universit\u00e1, 01100, Viterbo, Italy","institution_ids":["https://openalex.org/I138938424"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5022928434"],"corresponding_institution_ids":["https://openalex.org/I132153292"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.0843,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.86522777,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"70","issue":"6","first_page":"5269","last_page":"5291"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9951000213623047,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.6542320847511292},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.559867262840271},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5585238337516785},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4847399890422821},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4601704478263855},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4587474465370178},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41696402430534363},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23062840104103088},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.12755843997001648}],"concepts":[{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.6542320847511292},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.559867262840271},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5585238337516785},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4847399890422821},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4601704478263855},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4587474465370178},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41696402430534363},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23062840104103088},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.12755843997001648},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-024-02177-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02177-2","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W79818319","https://openalex.org/W177611543","https://openalex.org/W648809531","https://openalex.org/W1057021034","https://openalex.org/W1560802416","https://openalex.org/W1571391776","https://openalex.org/W1973869173","https://openalex.org/W1974442659","https://openalex.org/W1980564965","https://openalex.org/W1986915637","https://openalex.org/W1996190553","https://openalex.org/W2008828676","https://openalex.org/W2017663693","https://openalex.org/W2019740517","https://openalex.org/W2021735811","https://openalex.org/W2024125882","https://openalex.org/W2035176821","https://openalex.org/W2042535847","https://openalex.org/W2043742654","https://openalex.org/W2078465472","https://openalex.org/W2088162593","https://openalex.org/W2106627814","https://openalex.org/W2146447064","https://openalex.org/W2163511185","https://openalex.org/W2172846583","https://openalex.org/W2241289505","https://openalex.org/W2561945453","https://openalex.org/W2563888514","https://openalex.org/W2743472384","https://openalex.org/W2757176621","https://openalex.org/W2792137972","https://openalex.org/W2801242492","https://openalex.org/W2801454619","https://openalex.org/W2896634143","https://openalex.org/W2910387264","https://openalex.org/W2923916604","https://openalex.org/W2985403877","https://openalex.org/W2995071185","https://openalex.org/W3005710824","https://openalex.org/W3013374287","https://openalex.org/W3016295027","https://openalex.org/W3076941679","https://openalex.org/W3082486558","https://openalex.org/W3165729882","https://openalex.org/W3166188236","https://openalex.org/W3172981583","https://openalex.org/W3205533847","https://openalex.org/W3214999693","https://openalex.org/W4206290559","https://openalex.org/W4232769230","https://openalex.org/W4238521177","https://openalex.org/W4289798260","https://openalex.org/W4303415301","https://openalex.org/W4308464593","https://openalex.org/W4313492713","https://openalex.org/W4391817391","https://openalex.org/W6606165372"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2615167981","https://openalex.org/W2073681303","https://openalex.org/W2037143908","https://openalex.org/W2782555567","https://openalex.org/W4243325204","https://openalex.org/W72566090","https://openalex.org/W3150371131","https://openalex.org/W2387283721","https://openalex.org/W2077597484"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}