{"id":"https://openalex.org/W4385066265","doi":"https://doi.org/10.1080/00207160.2023.2239948","title":"Numerical solution of general Emden\u2013Fowler equation using Haar wavelet collocation method","display_name":"Numerical solution of general Emden\u2013Fowler equation using Haar wavelet collocation method","publication_year":2023,"publication_date":"2023-07-21","ids":{"openalex":"https://openalex.org/W4385066265","doi":"https://doi.org/10.1080/00207160.2023.2239948"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2023.2239948","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2023.2239948","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5100325449","display_name":"Ashish Kumar","orcid":"https://orcid.org/0000-0002-2003-6209"},"institutions":[{"id":"https://openalex.org/I190765188","display_name":"Ambedkar University Delhi","ror":"https://ror.org/0039wpa60","country_code":"IN","type":"education","lineage":["https://openalex.org/I190765188"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ashish Kumar","raw_affiliation_strings":["School of Liberal Studies, Dr B.R. Ambedkar University, Delhi, India"],"affiliations":[{"raw_affiliation_string":"School of Liberal Studies, Dr B.R. Ambedkar University, Delhi, India","institution_ids":["https://openalex.org/I190765188"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049348187","display_name":"Pranay Goswami","orcid":"https://orcid.org/0000-0003-1205-1975"},"institutions":[{"id":"https://openalex.org/I190765188","display_name":"Ambedkar University Delhi","ror":"https://ror.org/0039wpa60","country_code":"IN","type":"education","lineage":["https://openalex.org/I190765188"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Pranay Goswami","raw_affiliation_strings":["School of Liberal Studies, Dr B.R. Ambedkar University, Delhi, India"],"affiliations":[{"raw_affiliation_string":"School of Liberal Studies, Dr B.R. Ambedkar University, Delhi, India","institution_ids":["https://openalex.org/I190765188"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049348187"],"corresponding_institution_ids":["https://openalex.org/I190765188"],"apc_list":null,"apc_paid":null,"fwci":0.8972,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70228545,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"100","issue":"9","first_page":"1918","last_page":"1940"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9976999759674072,"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/mathematics","display_name":"Mathematics","score":0.8130204677581787},{"id":"https://openalex.org/keywords/haar-wavelet","display_name":"Haar wavelet","score":0.7451921701431274},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.6264159083366394},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5372889041900635},{"id":"https://openalex.org/keywords/haar","display_name":"Haar","score":0.45875880122184753},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.44179272651672363},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43889346718788147},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.43125948309898376},{"id":"https://openalex.org/keywords/orthogonal-collocation","display_name":"Orthogonal collocation","score":0.42506468296051025},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.41445648670196533},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4132230281829834},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4118598401546478},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40691033005714417},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.25117945671081543},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.23629915714263916},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.16851139068603516},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08678314089775085}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8130204677581787},{"id":"https://openalex.org/C2780423554","wikidata":"https://www.wikidata.org/wiki/Q766198","display_name":"Haar wavelet","level":5,"score":0.7451921701431274},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.6264159083366394},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5372889041900635},{"id":"https://openalex.org/C187029792","wikidata":"https://www.wikidata.org/wiki/Q2179112","display_name":"Haar","level":3,"score":0.45875880122184753},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.44179272651672363},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43889346718788147},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.43125948309898376},{"id":"https://openalex.org/C114609681","wikidata":"https://www.wikidata.org/wiki/Q24839227","display_name":"Orthogonal collocation","level":5,"score":0.42506468296051025},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.41445648670196533},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4132230281829834},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4118598401546478},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40691033005714417},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.25117945671081543},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.23629915714263916},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.16851139068603516},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08678314089775085},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2023.2239948","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2023.2239948","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1966816682","https://openalex.org/W1979778179","https://openalex.org/W1980564965","https://openalex.org/W1981490820","https://openalex.org/W1982809265","https://openalex.org/W1986738478","https://openalex.org/W1986830331","https://openalex.org/W2004591828","https://openalex.org/W2012645543","https://openalex.org/W2020790260","https://openalex.org/W2023766557","https://openalex.org/W2026220600","https://openalex.org/W2034094163","https://openalex.org/W2036029762","https://openalex.org/W2052533828","https://openalex.org/W2053759115","https://openalex.org/W2058851207","https://openalex.org/W2062199979","https://openalex.org/W2063619180","https://openalex.org/W2075063610","https://openalex.org/W2099271883","https://openalex.org/W2138987793","https://openalex.org/W2234714995","https://openalex.org/W2317731414","https://openalex.org/W2484275685","https://openalex.org/W2505999953","https://openalex.org/W2518691494","https://openalex.org/W2754963592","https://openalex.org/W2952097493","https://openalex.org/W2995071185","https://openalex.org/W3008131022","https://openalex.org/W3027696403","https://openalex.org/W3088301921","https://openalex.org/W3113302407","https://openalex.org/W4213130181","https://openalex.org/W4242546747","https://openalex.org/W4255137765","https://openalex.org/W4298282228","https://openalex.org/W4313044907"],"related_works":["https://openalex.org/W2791210196","https://openalex.org/W2078318892","https://openalex.org/W4255016916","https://openalex.org/W2111003632","https://openalex.org/W2889856026","https://openalex.org/W1987365920","https://openalex.org/W1989122168","https://openalex.org/W2000247808","https://openalex.org/W2384941625","https://openalex.org/W2060099884"],"abstract_inverted_index":{"This":[0,18],"paper":[1],"deals":[2],"with":[3],"the":[4,8,13,21,40,45,48,75,78,86,101],"numerical":[5],"solution":[6,46,79],"of":[7,27,60,77,90,100,103],"general":[9],"Emden\u2013Fowler":[10],"equation":[11,23],"using":[12,52],"Haar":[14,41],"wavelet":[15],"collocation":[16],"method.":[17],"method":[19,37,68],"transforms":[20],"differential":[22],"into":[24],"a":[25,97],"system":[26],"nonlinear":[28],"equations.":[29],"These":[30],"equations":[31,64],"are":[32],"further":[33],"solved":[34],"by":[35],"Newton's":[36],"to":[38,47],"obtain":[39],"coefficients,":[42],"and":[43,62,65,85],"finally":[44],"problem":[49],"is":[50],"acquired":[51],"these":[53],"coefficients.":[54],"We":[55],"have":[56],"taken":[57],"many":[58],"examples":[59],"fifth-":[61],"sixth-order":[63],"implemented":[66],"our":[67,91],"on":[69],"those":[70],"examples.":[71],"The":[72,93],"graphs":[73],"show":[74],"efficiency":[76],"for":[80],"resolution":[81],"L":[82],"=":[83],"3":[84],"maximum":[87],"absolute":[88],"error":[89,94],"approach.":[92,105],"tables":[95],"give":[96],"good":[98],"picture":[99],"accuracy":[102],"this":[104]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}