{"id":"https://openalex.org/W4313431672","doi":"https://doi.org/10.1080/00207160.2022.2164491","title":"RETRACTED ARTICLE: Mathematical techniques and applications of linear differential equation","display_name":"RETRACTED ARTICLE: Mathematical techniques and applications of linear differential equation","publication_year":2023,"publication_date":"2023-01-03","ids":{"openalex":"https://openalex.org/W4313431672","doi":"https://doi.org/10.1080/00207160.2022.2164491"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2022.2164491","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1080/00207160.2022.2164491","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5053018066","display_name":"R. Balapriya","orcid":null},"institutions":[{"id":"https://openalex.org/I4387154816","display_name":"R.M.D. Engineering College","ror":"https://ror.org/03gjktv92","country_code":null,"type":"education","lineage":["https://openalex.org/I4387154816"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"R. Balapriya","raw_affiliation_strings":["Department of Mathematics, R.M.K. Engineering College, Kavaraipettai, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, R.M.K. Engineering College, Kavaraipettai, India","institution_ids":["https://openalex.org/I4387154816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017884168","display_name":"A. Thiripuram","orcid":null},"institutions":[{"id":"https://openalex.org/I4387152119","display_name":"Jeppiaar Engineering College","ror":"https://ror.org/031h41563","country_code":null,"type":"education","lineage":["https://openalex.org/I4387152119"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"A. Thiripuram","raw_affiliation_strings":["Department of Mathematics, Jeppiaar Engineering College, Chennai, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jeppiaar Engineering College, Chennai, India","institution_ids":["https://openalex.org/I4387152119"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016591954","display_name":"S. Annadurai","orcid":null},"institutions":[{"id":"https://openalex.org/I4387154592","display_name":"St. Joseph\u2019s College of Engineering","ror":"https://ror.org/01g3pby21","country_code":null,"type":"education","lineage":["https://openalex.org/I4387154592"]},{"id":"https://openalex.org/I4210101093","display_name":"St. Joseph's Institute of Technology","ror":"https://ror.org/012npkr10","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210101093"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Annadurai","raw_affiliation_strings":["Department of Mathematics, St. Joseph\u2019s College of Engineering, Chennai, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, St. Joseph\u2019s College of Engineering, Chennai, India","institution_ids":["https://openalex.org/I4210101093","https://openalex.org/I4387154592"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112347596","display_name":"G. Arul Freeda Vinodhini","orcid":null},"institutions":[{"id":"https://openalex.org/I85461943","display_name":"Saveetha University","ror":"https://ror.org/0034me914","country_code":"IN","type":"education","lineage":["https://openalex.org/I85461943"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"G. Arul Freeda Vinodhini","raw_affiliation_strings":["Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Sriperumbudur, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Sriperumbudur, India","institution_ids":["https://openalex.org/I85461943"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5053018066"],"corresponding_institution_ids":["https://openalex.org/I4387154816"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01082269,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"100","issue":"4","first_page":"901","last_page":"908"},"is_retracted":true,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12812","display_name":"Meromorphic and Entire Functions","score":0.9905999898910522,"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/T12812","display_name":"Meromorphic and Entire Functions","score":0.9905999898910522,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9629999995231628,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9595999717712402,"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/computer-science","display_name":"Computer science","score":0.6241331100463867},{"id":"https://openalex.org/keywords/publishing","display_name":"Publishing","score":0.57386314868927},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.46997278928756714},{"id":"https://openalex.org/keywords/retract","display_name":"Retract","score":0.4209112823009491},{"id":"https://openalex.org/keywords/peer-review","display_name":"Peer review","score":0.4143863916397095},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.34380418062210083},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.33746767044067383},{"id":"https://openalex.org/keywords/engineering-ethics","display_name":"Engineering ethics","score":0.3351723253726959},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.3072437345981598},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22509059309959412}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6241331100463867},{"id":"https://openalex.org/C151719136","wikidata":"https://www.wikidata.org/wiki/Q3972943","display_name":"Publishing","level":2,"score":0.57386314868927},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.46997278928756714},{"id":"https://openalex.org/C2776055716","wikidata":"https://www.wikidata.org/wiki/Q7316893","display_name":"Retract","level":2,"score":0.4209112823009491},{"id":"https://openalex.org/C138368954","wikidata":"https://www.wikidata.org/wiki/Q215028","display_name":"Peer review","level":2,"score":0.4143863916397095},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.34380418062210083},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.33746767044067383},{"id":"https://openalex.org/C55587333","wikidata":"https://www.wikidata.org/wiki/Q1133029","display_name":"Engineering ethics","level":1,"score":0.3351723253726959},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.3072437345981598},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22509059309959412},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2022.2164491","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1080/00207160.2022.2164491","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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":13,"referenced_works":["https://openalex.org/W1530798444","https://openalex.org/W1976410632","https://openalex.org/W1988638580","https://openalex.org/W2001656575","https://openalex.org/W2048157048","https://openalex.org/W2068846851","https://openalex.org/W2084379211","https://openalex.org/W2114835851","https://openalex.org/W2204673416","https://openalex.org/W3003901285","https://openalex.org/W3141285191","https://openalex.org/W3208210297","https://openalex.org/W3216920893"],"related_works":["https://openalex.org/W2242551908","https://openalex.org/W399880605","https://openalex.org/W2320559754","https://openalex.org/W2050700816","https://openalex.org/W2080574912","https://openalex.org/W1999392874","https://openalex.org/W1870471499","https://openalex.org/W4294189372","https://openalex.org/W1797962494","https://openalex.org/W2397978882"],"abstract_inverted_index":{"\u201cWe,":[0],"the":[1,6,14,49,73,80,83,90,93,96,102,106,114,130,167,179],"Editors":[2],"and":[3,30,55,78,98,133,164,166],"Publisher":[4,99],"of":[5,9,32,38,82,92,118,149],"International":[7,36],"Journal":[8,37],"Computer":[10,39],"Mathematics,":[11,40],"have":[12,100,146,152],"retracted":[13,172],"following":[15],"article:R.":[16],"Balapriya,":[17],"A.":[18],"Thiripuram,":[19],"S.":[20],"Annadurai":[21],"&":[22,51],"G.":[23],"Arul":[24],"Freeda":[25],"Vinodhini":[26],"(2023)":[27],"Mathematical":[28],"Techniques":[29],"Applications":[31],"Linear":[33],"Differential":[34],"Equation,":[35],"100:4,":[41],"901-":[42],"908,":[43],"DOI:":[44],"10.1080/00207160.2022.2164491Following":[45],"an":[46],"investigation":[47],"by":[48,158],"Taylor":[50],"Francis":[52],"Research":[53],"Integrity":[54],"Ethics":[56],"team,":[57],"it":[58],"was":[59,65],"discovered":[60],"post-publication":[61],"that":[62],"this":[63,119,142,150],"article":[64],"not":[66,111],"peer":[67,75,84,121],"reviewed":[68],"appropriately,":[69],"in":[70,155],"line":[71],"with":[72,137],"Journal's":[74],"review":[76,85,122],"standards":[77],"policy.As":[79],"stringency":[81],"process":[86],"is":[87,126],"core":[88],"to":[89,104,128,177],"integrity":[91,165],"publication":[94],"process,":[95],"Editor":[97],"taken":[101],"decision":[103],"retract":[105],"article.":[107],"The":[108,124,144],"journal":[109,125],"has":[110],"confirmed":[112],"if":[113],"authors":[115,145],"were":[116],"aware":[117],"compromised":[120],"process.":[123],"committed":[127],"correcting":[129],"scientific":[131],"record":[132],"will":[134,174,184],"fully":[135],"cooperate":[136],"any":[138],"institutional":[139],"investigations":[140],"into":[141],"matter.":[143],"been":[147,153],"informed":[148,154],"decision.We":[151],"our":[156,159],"decision-making":[157],"policy":[160],"on":[161,170,188],"publishing":[162],"ethics":[163],"COPE":[168],"guidelines":[169],"retractions.The":[171],"articles":[173],"remain":[175],"online":[176],"maintain":[178],"scholarly":[180],"record,":[181],"but":[182],"they":[183],"be":[185],"digitally":[186],"watermarked":[187],"each":[189],"page":[190],"as":[191],"\u2018Retracted\u2019.\u201d":[192]},"counts_by_year":[],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}