{"id":"https://openalex.org/W2560373328","doi":"https://doi.org/10.1142/s0219691317500151","title":"Chebyshev wavelet method for numerical solutions of integro-differential form of Lane\u2013Emden type differential equations","display_name":"Chebyshev wavelet method for numerical solutions of integro-differential form of Lane\u2013Emden type differential equations","publication_year":2016,"publication_date":"2016-12-05","ids":{"openalex":"https://openalex.org/W2560373328","doi":"https://doi.org/10.1142/s0219691317500151","mag":"2560373328"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691317500151","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691317500151","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","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/A5018089665","display_name":"P. K. Sahu","orcid":"https://orcid.org/0000-0001-8237-6068"},"institutions":[{"id":"https://openalex.org/I16292982","display_name":"National Institute of Technology Rourkela","ror":"https://ror.org/011gmn932","country_code":"IN","type":"education","lineage":["https://openalex.org/I16292982"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"P. K. Sahu","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology, Rourkela, Odisha-769008, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology, Rourkela, Odisha-769008, India","institution_ids":["https://openalex.org/I16292982"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075848838","display_name":"S. Saha Ray","orcid":"https://orcid.org/0000-0002-2064-7050"},"institutions":[{"id":"https://openalex.org/I16292982","display_name":"National Institute of Technology Rourkela","ror":"https://ror.org/011gmn932","country_code":"IN","type":"education","lineage":["https://openalex.org/I16292982"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Saha Ray","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology, Rourkela, Odisha-769008, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology, Rourkela, Odisha-769008, India","institution_ids":["https://openalex.org/I16292982"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4665,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.7,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"02","first_page":"1750015","last_page":"1750015"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9957000017166138,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9940000176429749,"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/mathematics","display_name":"Mathematics","score":0.7755514979362488},{"id":"https://openalex.org/keywords/chebyshev-equation","display_name":"Chebyshev equation","score":0.6882135272026062},{"id":"https://openalex.org/keywords/chebyshev-iteration","display_name":"Chebyshev iteration","score":0.6293202042579651},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5567519068717957},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.5388533473014832},{"id":"https://openalex.org/keywords/legendre-wavelet","display_name":"Legendre wavelet","score":0.5116272568702698},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.49927830696105957},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4990382194519043},{"id":"https://openalex.org/keywords/chebyshev-nodes","display_name":"Chebyshev nodes","score":0.4715293347835541},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.46466055512428284},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.41320958733558655},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39636749029159546},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.18379810452461243},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.18212077021598816},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.1691373884677887},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10884177684783936},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.06592532992362976}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7755514979362488},{"id":"https://openalex.org/C142484921","wikidata":"https://www.wikidata.org/wiki/Q3890369","display_name":"Chebyshev equation","level":4,"score":0.6882135272026062},{"id":"https://openalex.org/C196512905","wikidata":"https://www.wikidata.org/wiki/Q2457511","display_name":"Chebyshev iteration","level":3,"score":0.6293202042579651},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5567519068717957},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.5388533473014832},{"id":"https://openalex.org/C123769847","wikidata":"https://www.wikidata.org/wiki/Q6517888","display_name":"Legendre wavelet","level":5,"score":0.5116272568702698},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.49927830696105957},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4990382194519043},{"id":"https://openalex.org/C171326582","wikidata":"https://www.wikidata.org/wiki/Q1052508","display_name":"Chebyshev nodes","level":3,"score":0.4715293347835541},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.46466055512428284},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.41320958733558655},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39636749029159546},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.18379810452461243},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.18212077021598816},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.1691373884677887},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10884177684783936},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.06592532992362976},{"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:10.1142/s0219691317500151","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691317500151","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","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":33,"referenced_works":["https://openalex.org/W119916070","https://openalex.org/W1517209357","https://openalex.org/W1560538028","https://openalex.org/W1966816682","https://openalex.org/W1973379045","https://openalex.org/W1974737128","https://openalex.org/W1982307846","https://openalex.org/W1988061917","https://openalex.org/W1993072091","https://openalex.org/W2002494740","https://openalex.org/W2004531333","https://openalex.org/W2022861208","https://openalex.org/W2023405176","https://openalex.org/W2033858425","https://openalex.org/W2050724148","https://openalex.org/W2054229934","https://openalex.org/W2056129278","https://openalex.org/W2057303584","https://openalex.org/W2059201765","https://openalex.org/W2062313409","https://openalex.org/W2062421353","https://openalex.org/W2067548886","https://openalex.org/W2078925098","https://openalex.org/W2110726881","https://openalex.org/W2130034261","https://openalex.org/W2280684282","https://openalex.org/W2308706815","https://openalex.org/W2317923533","https://openalex.org/W2320742950","https://openalex.org/W2342522182","https://openalex.org/W2476507202","https://openalex.org/W2522733732","https://openalex.org/W3022884928"],"related_works":["https://openalex.org/W2090151895","https://openalex.org/W2388339664","https://openalex.org/W1735526525","https://openalex.org/W2375690503","https://openalex.org/W2046683716","https://openalex.org/W4293824238","https://openalex.org/W2183002451","https://openalex.org/W2794648855","https://openalex.org/W2348193303","https://openalex.org/W2039349048"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"Chebyshev":[3,41,49],"wavelet":[4],"method":[5],"(CWM)":[6],"has":[7,25,79],"been":[8,26,80,85],"applied":[9],"to":[10,28,56,61,87],"solve":[11],"the":[12,21,36,58,89,94],"second-order":[13],"singular":[14,22],"differential":[15,23],"equations":[16,60,66],"of":[17,40,48,64,77,93],"Lane\u2013Emden":[18],"type.":[19],"Firstly,":[20],"equation":[24,31],"converted":[27],"Volterra":[29],"integro-differential":[30],"and":[32,91],"then":[33],"solved":[34,70],"by":[35,72],"CWM.":[37],"The":[38,46],"properties":[39,47],"wavelets":[42,50],"were":[43,54],"first":[44],"presented.":[45],"via":[51],"Gauss\u2013Legendre":[52],"rule":[53],"used":[55],"reduce":[57],"integral":[59],"a":[62],"system":[63],"algebraic":[65],"which":[67],"can":[68],"be":[69],"numerically":[71],"Newton\u2019s":[73],"method.":[74,96],"Convergence":[75],"analysis":[76],"CWM":[78],"discussed.":[81],"Illustrative":[82],"examples":[83],"have":[84],"provided":[86],"demonstrate":[88],"validity":[90],"applicability":[92],"present":[95]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}