{"id":"https://openalex.org/W4380623985","doi":"https://doi.org/10.1007/s40314-023-02352-4","title":"Error analysis of Chebyshev polynomial-based numerical method for system of hypersingular integral equations","display_name":"Error analysis of Chebyshev polynomial-based numerical method for system of hypersingular integral equations","publication_year":2023,"publication_date":"2023-06-14","ids":{"openalex":"https://openalex.org/W4380623985","doi":"https://doi.org/10.1007/s40314-023-02352-4"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-023-02352-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-023-02352-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied 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/A5019816734","display_name":"Abhishek Yadav","orcid":"https://orcid.org/0000-0003-2552-5674"},"institutions":[{"id":"https://openalex.org/I4210148827","display_name":"Birla Institute of Technology and Science, Pilani - Goa Campus","ror":"https://ror.org/046sh6j17","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210148827","https://openalex.org/I74796645"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Abhishek Yadav","raw_affiliation_strings":["Department of Mathematics, BITS Pilani K K Birla, Goa Campus, Goa, 403726, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, BITS Pilani K K Birla, Goa Campus, Goa, 403726, India","institution_ids":["https://openalex.org/I4210148827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037130878","display_name":"Amit Setia","orcid":"https://orcid.org/0000-0001-5628-9702"},"institutions":[{"id":"https://openalex.org/I4210148827","display_name":"Birla Institute of Technology and Science, Pilani - Goa Campus","ror":"https://ror.org/046sh6j17","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210148827","https://openalex.org/I74796645"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Amit Setia","raw_affiliation_strings":["Department of Mathematics, BITS Pilani K K Birla, Goa Campus, Goa, 403726, India"],"raw_orcid":"https://orcid.org/0000-0001-5628-9702","affiliations":[{"raw_affiliation_string":"Department of Mathematics, BITS Pilani K K Birla, Goa Campus, Goa, 403726, India","institution_ids":["https://openalex.org/I4210148827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055431798","display_name":"Ravi P. Agarwal","orcid":"https://orcid.org/0000-0003-0634-2370"},"institutions":[{"id":"https://openalex.org/I181414168","display_name":"Texas A&M University \u2013 Kingsville","ror":"https://ror.org/05abs3w97","country_code":"US","type":"education","lineage":["https://openalex.org/I181414168"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ravi P. Agarwal","raw_affiliation_strings":["Department of Mathematics, Texas A &M University, Kingsville, TX, 78363-8202, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A &M University, Kingsville, TX, 78363-8202, USA","institution_ids":["https://openalex.org/I181414168"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037130878"],"corresponding_institution_ids":["https://openalex.org/I4210148827"],"apc_list":null,"apc_paid":null,"fwci":0.8156,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.65367723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"42","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9962999820709229,"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/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7569065093994141},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.7286821007728577},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.7022571563720703},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6039140224456787},{"id":"https://openalex.org/keywords/method-of-mean-weighted-residuals","display_name":"Method of mean weighted residuals","score":0.6027278900146484},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5991475582122803},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.5963537096977234},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5839055776596069},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5811060070991516},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5461796522140503},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4717192053794861},{"id":"https://openalex.org/keywords/chebyshev-nodes","display_name":"Chebyshev nodes","score":0.46147724986076355},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.4579623341560364},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.444099485874176},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43681323528289795},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3016478419303894},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12374338507652283},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12340345978736877}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7569065093994141},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.7286821007728577},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.7022571563720703},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6039140224456787},{"id":"https://openalex.org/C159674985","wikidata":"https://www.wikidata.org/wiki/Q6823718","display_name":"Method of mean weighted residuals","level":4,"score":0.6027278900146484},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5991475582122803},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.5963537096977234},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5839055776596069},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5811060070991516},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5461796522140503},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4717192053794861},{"id":"https://openalex.org/C171326582","wikidata":"https://www.wikidata.org/wiki/Q1052508","display_name":"Chebyshev nodes","level":3,"score":0.46147724986076355},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.4579623341560364},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.444099485874176},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43681323528289795},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3016478419303894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12374338507652283},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12340345978736877},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-023-02352-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-023-02352-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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":35,"referenced_works":["https://openalex.org/W1490306058","https://openalex.org/W1969376330","https://openalex.org/W1979970772","https://openalex.org/W1980493641","https://openalex.org/W1988853154","https://openalex.org/W1991030360","https://openalex.org/W2003311535","https://openalex.org/W2007407491","https://openalex.org/W2007588759","https://openalex.org/W2014662350","https://openalex.org/W2014953320","https://openalex.org/W2017911328","https://openalex.org/W2034021080","https://openalex.org/W2041433555","https://openalex.org/W2043879228","https://openalex.org/W2048434046","https://openalex.org/W2070725236","https://openalex.org/W2073166498","https://openalex.org/W2086143281","https://openalex.org/W2101423148","https://openalex.org/W2120483962","https://openalex.org/W2126704871","https://openalex.org/W2143171168","https://openalex.org/W2159364339","https://openalex.org/W2164233982","https://openalex.org/W2313413914","https://openalex.org/W2806755424","https://openalex.org/W3036848978","https://openalex.org/W3152000184","https://openalex.org/W4224883139","https://openalex.org/W4286602962","https://openalex.org/W4293696357","https://openalex.org/W4309426115","https://openalex.org/W4319985757","https://openalex.org/W4321104185"],"related_works":["https://openalex.org/W2021099221","https://openalex.org/W2112919228","https://openalex.org/W1988318322","https://openalex.org/W1991213783","https://openalex.org/W4323652453","https://openalex.org/W1866822838","https://openalex.org/W2136992695","https://openalex.org/W2106962382","https://openalex.org/W2382532955","https://openalex.org/W2074316639"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-01-21T23:30:37.877113","created_date":"2025-10-10T00:00:00"}
