{"id":"https://openalex.org/W3199999097","doi":"https://doi.org/10.1080/00207160.2021.1978435","title":"An inverse problem for the damped generalized regularized long wave equation","display_name":"An inverse problem for the damped generalized regularized long wave equation","publication_year":2021,"publication_date":"2021-09-17","ids":{"openalex":"https://openalex.org/W3199999097","doi":"https://doi.org/10.1080/00207160.2021.1978435","mag":"3199999097"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2021.1978435","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5001764686","display_name":"Fatemeh Ghanadian","orcid":null},"institutions":[{"id":"https://openalex.org/I192805215","display_name":"Damghan University","ror":"https://ror.org/03v4m1x12","country_code":"IR","type":"funder","lineage":["https://openalex.org/I192805215"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Fatemeh Ghanadian","raw_affiliation_strings":["School of Mathematics and Computer Science, Damghan University, Damghan, Iran"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Damghan University, Damghan, Iran","institution_ids":["https://openalex.org/I192805215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008819598","display_name":"Reza Pourgholi","orcid":"https://orcid.org/0000-0003-4111-5130"},"institutions":[{"id":"https://openalex.org/I192805215","display_name":"Damghan University","ror":"https://ror.org/03v4m1x12","country_code":"IR","type":"funder","lineage":["https://openalex.org/I192805215"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Reza Pourgholi","raw_affiliation_strings":["School of Mathematics and Computer Science, Damghan University, Damghan, Iran"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Damghan University, Damghan, Iran","institution_ids":["https://openalex.org/I192805215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044993082","display_name":"S. Hashem Tabasi","orcid":"https://orcid.org/0000-0002-0110-2856"},"institutions":[{"id":"https://openalex.org/I192805215","display_name":"Damghan University","ror":"https://ror.org/03v4m1x12","country_code":"IR","type":"funder","lineage":["https://openalex.org/I192805215"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Seyed Hashem Tabasi","raw_affiliation_strings":["School of Mathematics and Computer Science, Damghan University, Damghan, Iran"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Damghan University, Damghan, Iran","institution_ids":["https://openalex.org/I192805215"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008819598"],"corresponding_institution_ids":["https://openalex.org/I192805215"],"apc_list":null,"apc_paid":null,"fwci":0.617,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.553022,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":66,"max":71},"biblio":{"volume":"99","issue":"7","first_page":"1395","last_page":"1427"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.9976,"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/T10514","display_name":"Numerical methods in engineering","score":0.9968,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/backus\u2013gilbert-method","display_name":"Backus\u2013Gilbert method","score":0.5805069},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization","score":0.47128835},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.44567937},{"id":"https://openalex.org/keywords/haar-wavelet","display_name":"Haar wavelet","score":0.42634678}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.82180905},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.75994015},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.7108363},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.64434856},{"id":"https://openalex.org/C27872270","wikidata":"https://www.wikidata.org/wiki/Q4839810","display_name":"Backus\u2013Gilbert method","level":5,"score":0.5805069},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.53326195},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.50872546},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48690024},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.47336742},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.47128835},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.44567937},{"id":"https://openalex.org/C2780423554","wikidata":"https://www.wikidata.org/wiki/Q766198","display_name":"Haar wavelet","level":5,"score":0.42634678},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.41872036},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.2391504},{"id":"https://openalex.org/C141718189","wikidata":"https://www.wikidata.org/wiki/Q7309628","display_name":"Regularization perspectives on support vector machines","level":4,"score":0.12758878},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.11554074},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.087880105},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08353916},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.068497986},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2021.1978435","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":42,"referenced_works":["https://openalex.org/W157074136","https://openalex.org/W1668783339","https://openalex.org/W1913777570","https://openalex.org/W1969895864","https://openalex.org/W1990381576","https://openalex.org/W1995243572","https://openalex.org/W1998413407","https://openalex.org/W2002415091","https://openalex.org/W2003223511","https://openalex.org/W2005380085","https://openalex.org/W2008742455","https://openalex.org/W2013988002","https://openalex.org/W2023766557","https://openalex.org/W2025876135","https://openalex.org/W2029912024","https://openalex.org/W2031604650","https://openalex.org/W2058573491","https://openalex.org/W2059348829","https://openalex.org/W2063222758","https://openalex.org/W2067330105","https://openalex.org/W2069123619","https://openalex.org/W2069347421","https://openalex.org/W2073103099","https://openalex.org/W2075665712","https://openalex.org/W2078773005","https://openalex.org/W2091505322","https://openalex.org/W2106627814","https://openalex.org/W2108092007","https://openalex.org/W2109777853","https://openalex.org/W2113598793","https://openalex.org/W2128677632","https://openalex.org/W2132172534","https://openalex.org/W2146766088","https://openalex.org/W2155243641","https://openalex.org/W2156771303","https://openalex.org/W2305655324","https://openalex.org/W2609268354","https://openalex.org/W2756329465","https://openalex.org/W2954754862","https://openalex.org/W3081252821","https://openalex.org/W4251733689","https://openalex.org/W4298876635"],"related_works":["https://openalex.org/W4299419357","https://openalex.org/W4210488957","https://openalex.org/W3199999097","https://openalex.org/W2962742740","https://openalex.org/W2922376621","https://openalex.org/W2507941141","https://openalex.org/W2296809907","https://openalex.org/W2005490094","https://openalex.org/W1965101614","https://openalex.org/W166736794"],"abstract_inverted_index":{"In":[0],"this":[1,23,49],"article,":[2],"we":[3],"consider":[4],"an":[5,81],"inverse":[6,91],"problem":[7,24,50],"related":[8],"to":[9],"the":[10,27,36,42,45,58,62,67,85,89],"damped":[11],"generalized":[12],"regularized":[13],"long":[14],"wave":[15],"equation":[16],"with":[17,35],"noisy":[18],"data.":[19],"We":[20,40],"study":[21],"numerically":[22],"by":[25,75],"applying":[26],"quartic":[28,63],"B-spline":[29,64],"and":[30,44,51,55,66],"Haar":[31,68],"wavelet":[32,69],"methods":[33],"combined":[34],"Tikhonov":[37],"regularization":[38],"method.":[39],"investigate":[41],"stability":[43],"convergence":[46,59],"analysis":[47],"of":[48,61,84,88],"show":[52,79],"that":[53,80],"O(k2+h3)":[54],"O(1M)":[56],"are":[57],"rates":[60],"method":[65],"method,":[70],"respectively.":[71],"The":[72],"numerical":[73],"results,":[74],"a":[76],"comparative":[77],"study,":[78],"excellent":[82],"estimation":[83],"unknown":[86],"functions":[87],"mentioned":[90],"problem.":[92]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3199999097","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-04-18T02:08:14.562535","created_date":"2021-09-27"}