{"id":"https://openalex.org/W1481213719","doi":"https://doi.org/10.3233/fi-2014-1084","title":"A Numerical Algorithm and a Variational Iteration Technique for Solving Higher Order Fuzzy Integro-differential Equations","display_name":"A Numerical Algorithm and a Variational Iteration Technique for Solving Higher Order Fuzzy Integro-differential Equations","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1481213719","doi":"https://doi.org/10.3233/fi-2014-1084","mag":"1481213719"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2014-1084","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2014-1084","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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/A5001104227","display_name":"Samayan Narayanamoorthy","orcid":"https://orcid.org/0000-0002-3782-4666"},"institutions":[{"id":"https://openalex.org/I111575329","display_name":"Bharathiar University","ror":"https://ror.org/04fht8c22","country_code":"IN","type":"education","lineage":["https://openalex.org/I111575329"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"S. Narayanamoorthy","raw_affiliation_strings":["Department of Applied Mathematics, Bharathiar University, Coimbatore 641 046, India. snm_phd@yahoo.co.in; mkm.murugan@gmail.com"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Bharathiar University, Coimbatore 641 046, India. snm_phd@yahoo.co.in; mkm.murugan@gmail.com","institution_ids":["https://openalex.org/I111575329"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048767740","display_name":"Kadarkarai Murugan","orcid":"https://orcid.org/0000-0002-2149-5028"},"institutions":[{"id":"https://openalex.org/I111575329","display_name":"Bharathiar University","ror":"https://ror.org/04fht8c22","country_code":"IN","type":"education","lineage":["https://openalex.org/I111575329"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"K. Murugan","raw_affiliation_strings":["Department of Applied Mathematics, Bharathiar University, Coimbatore 641 046, India. snm_phd@yahoo.co.in; mkm.murugan@gmail.com"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Bharathiar University, Coimbatore 641 046, India. snm_phd@yahoo.co.in; mkm.murugan@gmail.com","institution_ids":["https://openalex.org/I111575329"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001104227"],"corresponding_institution_ids":["https://openalex.org/I111575329"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.03104967,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"133","issue":"4","first_page":"421","last_page":"431"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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":0.9979000091552734,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9907000064849854,"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/mathematics","display_name":"Mathematics","score":0.6466245651245117},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5607074499130249},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5219118595123291},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5105791687965393},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46684181690216064},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.45998281240463257},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.42275503277778625},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.327094167470932},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3098757863044739},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2944047451019287},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08110526204109192}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6466245651245117},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5607074499130249},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5219118595123291},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5105791687965393},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46684181690216064},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.45998281240463257},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.42275503277778625},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.327094167470932},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3098757863044739},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2944047451019287},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08110526204109192},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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:10.3233/fi-2014-1084","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2014-1084","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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":25,"referenced_works":["https://openalex.org/W351768996","https://openalex.org/W1510674250","https://openalex.org/W1606297705","https://openalex.org/W1612304544","https://openalex.org/W1963906656","https://openalex.org/W1977342383","https://openalex.org/W1984853762","https://openalex.org/W1986120838","https://openalex.org/W1994178762","https://openalex.org/W2003184377","https://openalex.org/W2022135193","https://openalex.org/W2033413333","https://openalex.org/W2050463819","https://openalex.org/W2054016546","https://openalex.org/W2061236566","https://openalex.org/W2062148826","https://openalex.org/W2064348130","https://openalex.org/W2066664916","https://openalex.org/W2069069851","https://openalex.org/W2074742486","https://openalex.org/W2098423947","https://openalex.org/W2136846992","https://openalex.org/W2144399742","https://openalex.org/W2503556225","https://openalex.org/W2912565176"],"related_works":["https://openalex.org/W3214346900","https://openalex.org/W2356099978","https://openalex.org/W3202709773","https://openalex.org/W1977848887","https://openalex.org/W3129086539","https://openalex.org/W4380147916","https://openalex.org/W2363346090","https://openalex.org/W2239515625","https://openalex.org/W2355811859","https://openalex.org/W4230510080"],"abstract_inverted_index":{"In":[0],"this":[1,61],"paper,":[2],"we":[3,55,65],"present":[4],"an":[5,67],"algorithmic":[6],"form":[7,27],"of":[8,28,41,60,72],"the":[9,51,57,73],"variational":[10,52],"iteration":[11],"method":[12,54],"(VIM)":[13],"to":[14,31,38],"handle":[15],"both":[16],"linear":[17],"and":[18,63],"nonlinear":[19],"higher":[20,33,42,74],"order":[21,34,43,75],"fuzzy":[22,29,35,70,76],"integro-differential":[23,36,44,77],"equations.":[24,78],"Using":[25],"parametric":[26],"numbers":[30],"convert":[32],"equation":[37],"a":[39],"system":[40,62],"equations":[45],"in":[46],"crisp":[47],"case.":[48],"By":[49],"using":[50],"integration":[53],"find":[56],"approximate":[58],"solution":[59,71],"consequently":[64],"obtain":[66],"approximation":[68],"for":[69],"The":[79],"numerical":[80],"results":[81],"are":[82],"examined.":[83]},"counts_by_year":[{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}