{"id":"https://openalex.org/W2187910402","doi":null,"title":"Modified New Iterative Method for Solving Nonlinear Abel Type Integral Equations","display_name":"Modified New Iterative Method for Solving Nonlinear Abel Type Integral Equations","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2187910402","mag":"2187910402"},"language":"en","primary_location":{"id":"mag:2187910402","doi":null,"is_oa":false,"landing_page_url":"http://www.internonlinearscience.org/upload/papers/IJNS%20Vol%2014%20No%203%20Paper%206%20Modified%20New%20Iterative%20Method%20for%20Solving%20Nonlinear%20Abel%20type%20Integral%20Equations.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5100675978","display_name":"Praveen Kumar Gupta","orcid":"https://orcid.org/0000-0002-0889-9802","observed_orcids":["https://orcid.org/0000-0002-0889-9802"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Praveen Kumar Gupta","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-0889-9802","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5100675978"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.5317000150680542,"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"}},"topics":[{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.5317000150680542,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.20579999685287476,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.14390000700950623,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/abel-equation","display_name":"Abel integral equation","score":0.8640000224113464},{"id":"https://openalex.org/keywords/nonlinear-integral-equations","display_name":"nonlinear integral equations","score":0.968999981880188},{"id":"https://openalex.org/keywords/approximate-analytical-solutions","display_name":"approximate analytical solutions","score":0.9599999785423279},{"id":"https://openalex.org/keywords/iterative-methods","display_name":"iterative methods","score":0.5519999861717224},{"id":"https://openalex.org/keywords/linear-integral-equations","display_name":"linear integral equations","score":0.6579999923706055}],"concepts":[{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.7527308464050293},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7069557905197144},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6629675626754761},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6101168394088745},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5343448519706726},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5176142454147339},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45987313985824585},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.26723766326904297},{"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/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":"mag:2187910402","doi":null,"is_oa":false,"landing_page_url":"http://www.internonlinearscience.org/upload/papers/IJNS%20Vol%2014%20No%203%20Paper%206%20Modified%20New%20Iterative%20Method%20for%20Solving%20Nonlinear%20Abel%20type%20Integral%20Equations.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W159797713","https://openalex.org/W1609413062","https://openalex.org/W1964240999","https://openalex.org/W1966827893","https://openalex.org/W1967374611","https://openalex.org/W1969004631","https://openalex.org/W1973792534","https://openalex.org/W1990198680","https://openalex.org/W1998123047","https://openalex.org/W2001481385","https://openalex.org/W2009722472","https://openalex.org/W2013734978","https://openalex.org/W2044113963","https://openalex.org/W2050247400","https://openalex.org/W2052548613","https://openalex.org/W2069595440","https://openalex.org/W2075551360","https://openalex.org/W2087293778","https://openalex.org/W2090968451","https://openalex.org/W2118166339","https://openalex.org/W2488968130","https://openalex.org/W2494084875","https://openalex.org/W2497010199","https://openalex.org/W2797024182"],"related_works":["https://openalex.org/W2014311369","https://openalex.org/W2511542226","https://openalex.org/W3030045811","https://openalex.org/W2006763907","https://openalex.org/W2548138146","https://openalex.org/W2946378730","https://openalex.org/W2027563035","https://openalex.org/W3200591205","https://openalex.org/W602027652","https://openalex.org/W2064170215"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"the":[3,8,19,30,40,44,55,62],"approximate":[4,79],"analytical":[5,22,67],"solutions":[6,68],"of":[7,21,24,43,61],"linear":[9,25],"and":[10,26,59],"nonlinear":[11,27],"Abel":[12],"type":[13],"integral":[14,45],"equation":[15,46],"are":[16,74],"obtained":[17],"with":[18],"help":[20],"method":[23,63],"problems":[28],"called":[29],"Modified":[31],"New":[32],"Iterative":[33],"Method":[34],"(MNIM).":[35],"By":[36],"choosing":[37],"initial":[38],"value,":[39],"explicit":[41],"solution":[42],"for":[47],"different":[48],"examples":[49],"have":[50],"been":[51],"solved":[52],"which":[53],"demonstrate":[54],"effectiveness,":[56],"validity,":[57],"potentiality":[58],"reliability":[60],"in":[64],"reality.":[65],"The":[66],"show":[69],"that":[70],"only":[71],"two":[72],"iterations":[73],"needed":[75],"to":[76],"obtain":[77],"accurate":[78],"solutions.":[80]},"counts_by_year":[{"year":2016,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
