{"id":"https://openalex.org/W2002495698","doi":"https://doi.org/10.2478/cmam-2010-0021","title":"Approximate Solution of a Singular Integral Cauchy-Kernel Equation of the First Kind","display_name":"Approximate Solution of a Singular Integral Cauchy-Kernel Equation of the First Kind","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2002495698","doi":"https://doi.org/10.2478/cmam-2010-0021","mag":"2002495698"},"language":"en","primary_location":{"id":"doi:10.2478/cmam-2010-0021","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2010-0021","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2010-0021/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2010-0021/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052405393","display_name":"M. Kashfi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210130889","display_name":"Islamic Azad University Shabestar","ror":"https://ror.org/03b49d241","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210130889"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"M. Kashfi","raw_affiliation_strings":["1Department of Mathematics, Islamic Azad University of Shabestar Branch, Shabestar, Iran"],"affiliations":[{"raw_affiliation_string":"1Department of Mathematics, Islamic Azad University of Shabestar Branch, Shabestar, Iran","institution_ids":["https://openalex.org/I4210130889"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070053895","display_name":"S. Shahmorad","orcid":"https://orcid.org/0000-0002-2476-1176"},"institutions":[{"id":"https://openalex.org/I41832843","display_name":"University of Tabriz","ror":"https://ror.org/01papkj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I41832843"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"S. Shahmorad","raw_affiliation_strings":["2Department of Applied Mathematics, University of Tabriz, 29 Bahman Boulevard, Tabriz, Iran"],"affiliations":[{"raw_affiliation_string":"2Department of Applied Mathematics, University of Tabriz, 29 Bahman Boulevard, Tabriz, Iran","institution_ids":["https://openalex.org/I41832843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052405393"],"corresponding_institution_ids":["https://openalex.org/I4210130889"],"apc_list":null,"apc_paid":null,"fwci":0.4062,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56738932,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"10","issue":"4","first_page":"359","last_page":"367"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9993000030517578,"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":0.9991999864578247,"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":0.8335753679275513},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.7214314937591553},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6810855865478516},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.6785645484924316},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.557500422000885},{"id":"https://openalex.org/keywords/singular-integral","display_name":"Singular integral","score":0.5229290723800659},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.4883084297180176},{"id":"https://openalex.org/keywords/cauchys-integral-formula","display_name":"Cauchy's integral formula","score":0.47523951530456543},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4740084111690521},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.44508808851242065},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.431515634059906},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4261126220226288},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.3823963701725006},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16843053698539734}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8335753679275513},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.7214314937591553},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6810855865478516},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.6785645484924316},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.557500422000885},{"id":"https://openalex.org/C92571104","wikidata":"https://www.wikidata.org/wiki/Q888122","display_name":"Singular integral","level":3,"score":0.5229290723800659},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.4883084297180176},{"id":"https://openalex.org/C82006148","wikidata":"https://www.wikidata.org/wiki/Q913764","display_name":"Cauchy's integral formula","level":4,"score":0.47523951530456543},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4740084111690521},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.44508808851242065},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.431515634059906},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4261126220226288},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.3823963701725006},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16843053698539734},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2478/cmam-2010-0021","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2010-0021","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2010-0021/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.2478/cmam-2010-0021","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2010-0021","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2010-0021/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2002495698.pdf","grobid_xml":"https://content.openalex.org/works/W2002495698.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W628450978","https://openalex.org/W654798860","https://openalex.org/W1516326458","https://openalex.org/W1609413062","https://openalex.org/W1968280319","https://openalex.org/W2059450605","https://openalex.org/W2059998776","https://openalex.org/W2109867234","https://openalex.org/W2482911253","https://openalex.org/W4254246953"],"related_works":["https://openalex.org/W2382532955","https://openalex.org/W2106962382","https://openalex.org/W4213342932","https://openalex.org/W2056379897","https://openalex.org/W2074316639","https://openalex.org/W2541927208","https://openalex.org/W1986061708","https://openalex.org/W2059906421","https://openalex.org/W2072191296","https://openalex.org/W1971608024"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper":[3],"we":[4],"present":[5],"a":[6,23],"method":[7],"for":[8,57],"the":[9,19,30,34,39,58],"numerical":[10],"solution":[11],"of":[12,18,33,38],"Cauchy":[13],"type":[14],"singular":[15],"integral":[16],"equations":[17],"first":[20,40],"kind":[21],"on":[22],"finite":[24],"segment":[25],"which":[26],"is":[27,55],"unbounded":[28],"at":[29],"end":[31],"points":[32],"segment.":[35],"Chebyshev":[36],"polynomials":[37],"and":[41],"second":[42],"kinds":[43],"are":[44],"used":[45],"to":[46],"derive":[47],"an":[48,52],"approximate":[49,59],"solution.":[50,60],"Moreover,":[51],"estimation":[53],"error":[54],"computed":[56]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
