{"id":"https://openalex.org/W4416417540","doi":"https://doi.org/10.1016/j.ascom.2025.101021","title":"High-order wavelet-based numerical algorithms for nonlinear singular Lane\u2013Emden\u2013Fowler equations: Applications to physical models in astrophysics","display_name":"High-order wavelet-based numerical algorithms for nonlinear singular Lane\u2013Emden\u2013Fowler equations: Applications to physical models in astrophysics","publication_year":2025,"publication_date":"2025-11-20","ids":{"openalex":"https://openalex.org/W4416417540","doi":"https://doi.org/10.1016/j.ascom.2025.101021"},"language":"en","primary_location":{"id":"doi:10.1016/j.ascom.2025.101021","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ascom.2025.101021","pdf_url":null,"source":{"id":"https://openalex.org/S107133554","display_name":"Astronomy and Computing","issn_l":"2213-1337","issn":["2213-1337","2213-1345"],"is_oa":false,"is_in_doaj":false,"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,"raw_source_name":"Astronomy 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/A5084275852","display_name":"Muhammad Ahsan","orcid":"https://orcid.org/0000-0001-5203-4577"},"institutions":[{"id":"https://openalex.org/I4210142599","display_name":"University of Swabi","ror":"https://ror.org/04ez8az68","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210142599"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Ahsan","raw_affiliation_strings":["Department of Mathematics, University of Swabi, Khyber Pakhtunkhwa 23200, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Swabi, Khyber Pakhtunkhwa 23200, Pakistan","institution_ids":["https://openalex.org/I4210142599"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006617613","display_name":"Shafiq ur Rehman","orcid":"https://orcid.org/0000-0002-1265-3442"},"institutions":[{"id":"https://openalex.org/I4210142599","display_name":"University of Swabi","ror":"https://ror.org/04ez8az68","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210142599"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Shadab Rehman","raw_affiliation_strings":["Department of Mathematics, University of Swabi, Khyber Pakhtunkhwa 23200, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Swabi, Khyber Pakhtunkhwa 23200, Pakistan","institution_ids":["https://openalex.org/I4210142599"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101048916","display_name":"Masood Ahmad","orcid":"https://orcid.org/0000-0003-2149-7653"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Masood Ahmad","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha 410083, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha 410083, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106651350","display_name":"Maher Alwuthaynani","orcid":"https://orcid.org/0009-0002-8870-4848"},"institutions":[{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Maher Alwuthaynani","raw_affiliation_strings":["Department of Mathematics, College of Khurma University College, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Khurma University College, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009437932","display_name":"Ahmad Fauzi Mohd Ayub","orcid":"https://orcid.org/0000-0002-4313-2922"},"institutions":[{"id":"https://openalex.org/I4210142599","display_name":"University of Swabi","ror":"https://ror.org/04ez8az68","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210142599"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Ayesha Ayub","raw_affiliation_strings":["Department of Mathematics, University of Swabi, Khyber Pakhtunkhwa 23200, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Swabi, Khyber Pakhtunkhwa 23200, Pakistan","institution_ids":["https://openalex.org/I4210142599"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5084275852"],"corresponding_institution_ids":["https://openalex.org/I4210142599"],"apc_list":{"value":2810,"currency":"USD","value_usd":2810},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.38419492,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"54","issue":null,"first_page":"101021","last_page":"101021"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.8288000226020813,"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":0.8288000226020813,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.1281999945640564,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.005200000014156103,"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/nonlinear-system","display_name":"Nonlinear system","score":0.6074000000953674},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5286999940872192},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.49459999799728394},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.47699999809265137},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.47279998660087585},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.46619999408721924},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45809999108314514},{"id":"https://openalex.org/keywords/haar-wavelet","display_name":"Haar wavelet","score":0.4544000029563904},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.420199990272522},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.41130000352859497}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6074000000953674},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5286999940872192},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5216000080108643},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5044000148773193},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.49459999799728394},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.47699999809265137},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47530001401901245},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.47279998660087585},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.46619999408721924},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45809999108314514},{"id":"https://openalex.org/C2780423554","wikidata":"https://www.wikidata.org/wiki/Q766198","display_name":"Haar wavelet","level":5,"score":0.4544000029563904},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.420199990272522},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.41130000352859497},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3912999927997589},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.39100000262260437},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.376800000667572},{"id":"https://openalex.org/C200917960","wikidata":"https://www.wikidata.org/wiki/Q3847057","display_name":"Singular point of a curve","level":2,"score":0.35260000824928284},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.35089999437332153},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.3440999984741211},{"id":"https://openalex.org/C39177556","wikidata":"https://www.wikidata.org/wiki/Q7100567","display_name":"Order of accuracy","level":4,"score":0.34310001134872437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34200000762939453},{"id":"https://openalex.org/C187029792","wikidata":"https://www.wikidata.org/wiki/Q2179112","display_name":"Haar","level":3,"score":0.3353999853134155},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.33219999074935913},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.3292999863624573},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3246999979019165},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.322299987077713},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3147999942302704},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.3084000051021576},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.3050999939441681},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.2971000075340271},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.29670000076293945},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.29499998688697815},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2924000024795532},{"id":"https://openalex.org/C99383703","wikidata":"https://www.wikidata.org/wiki/Q1064218","display_name":"Schur decomposition","level":4,"score":0.26739999651908875},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.2563999891281128},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25360000133514404},{"id":"https://openalex.org/C186080144","wikidata":"https://www.wikidata.org/wiki/Q358733","display_name":"Series expansion","level":2,"score":0.25119999051094055},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.25099998712539673}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.ascom.2025.101021","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ascom.2025.101021","pdf_url":null,"source":{"id":"https://openalex.org/S107133554","display_name":"Astronomy and Computing","issn_l":"2213-1337","issn":["2213-1337","2213-1345"],"is_oa":false,"is_in_doaj":false,"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,"raw_source_name":"Astronomy and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2408253006","display_name":null,"funder_award_id":"TU-DSPP-2025-66","funder_id":"https://openalex.org/F4320323722","funder_display_name":"Taif University"}],"funders":[{"id":"https://openalex.org/F4320323722","display_name":"Taif University","ror":"https://ror.org/014g1a453"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W144629417","https://openalex.org/W1965426136","https://openalex.org/W1980564965","https://openalex.org/W1988033854","https://openalex.org/W1988951561","https://openalex.org/W1991370072","https://openalex.org/W1996465641","https://openalex.org/W1996496941","https://openalex.org/W2013256060","https://openalex.org/W2034094163","https://openalex.org/W2035176821","https://openalex.org/W2053691921","https://openalex.org/W2087331271","https://openalex.org/W2093438429","https://openalex.org/W2106627814","https://openalex.org/W2124625826","https://openalex.org/W2317731414","https://openalex.org/W2805274586","https://openalex.org/W2978316641","https://openalex.org/W2986054461","https://openalex.org/W3010870234","https://openalex.org/W3045977733","https://openalex.org/W3126114918","https://openalex.org/W3185350089","https://openalex.org/W4213053793","https://openalex.org/W4292133435","https://openalex.org/W4323345783","https://openalex.org/W4360945147","https://openalex.org/W4363678955","https://openalex.org/W4384080215","https://openalex.org/W4386189058","https://openalex.org/W4389109673","https://openalex.org/W4389187391","https://openalex.org/W4392651946","https://openalex.org/W4401020985","https://openalex.org/W4404837132","https://openalex.org/W4405996491","https://openalex.org/W4406949567"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-11-20T00:00:00"}
