{"id":"https://openalex.org/W2753085900","doi":"https://doi.org/10.1007/s10915-017-0533-5","title":"A New Functional Iterative Algorithm for the Regularized Long-Wave Equation Using an Integral Equation Formalism","display_name":"A New Functional Iterative Algorithm for the Regularized Long-Wave Equation Using an Integral Equation Formalism","publication_year":2017,"publication_date":"2017-09-08","ids":{"openalex":"https://openalex.org/W2753085900","doi":"https://doi.org/10.1007/s10915-017-0533-5","mag":"2753085900"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-017-0533-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-017-0533-5","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs10915-017-0533-5.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007%2Fs10915-017-0533-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057096752","display_name":"T.S. Jang","orcid":"https://orcid.org/0000-0002-5252-7141"},"institutions":[{"id":"https://openalex.org/I4921948","display_name":"Pusan National University","ror":"https://ror.org/01an57a31","country_code":"KR","type":"education","lineage":["https://openalex.org/I4921948"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"T.  S. Jang","raw_affiliation_strings":["Department of Naval Architecture and Ocean Engineering, Pusan National University, Busan, 46241, Republic of Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Naval Architecture and Ocean Engineering, Pusan National University, Busan, 46241, Republic of Korea","institution_ids":["https://openalex.org/I4921948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057096752"],"corresponding_institution_ids":["https://openalex.org/I4921948"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.0044,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.75288009,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"74","issue":"3","first_page":"1504","last_page":"1532"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9979000091552734,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9976000189781189,"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":0.7913090586662292},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6745793223381042},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6060836911201477},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.5370039343833923},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.521468997001648},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4748028814792633},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4342890977859497},{"id":"https://openalex.org/keywords/first-order-partial-differential-equation","display_name":"First-order partial differential equation","score":0.43242499232292175},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.42230522632598877},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.41459837555885315},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35589316487312317},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2610626220703125},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07633772492408752}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7913090586662292},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6745793223381042},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6060836911201477},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5370039343833923},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.521468997001648},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4748028814792633},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4342890977859497},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.43242499232292175},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.42230522632598877},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.41459837555885315},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35589316487312317},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2610626220703125},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07633772492408752},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-017-0533-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-017-0533-5","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs10915-017-0533-5.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10915-017-0533-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-017-0533-5","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs10915-017-0533-5.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7200000286102295,"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6"}],"awards":[{"id":"https://openalex.org/G1207955553","display_name":null,"funder_award_id":"2017R1A5A1015722","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G3360911893","display_name":null,"funder_award_id":"NRF-2017R1A5A1015722","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G4070303885","display_name":null,"funder_award_id":"2017R1A5A1015722","funder_id":"https://openalex.org/F4320322030","funder_display_name":"Ministry of Science, ICT and Future Planning"},{"id":"https://openalex.org/G7494601658","display_name":null,"funder_award_id":"NRF-2017R1A5A1015722","funder_id":"https://openalex.org/F4320322030","funder_display_name":"Ministry of Science, ICT and Future Planning"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322030","display_name":"Ministry of Science, ICT and Future Planning","ror":"https://ror.org/032e49973"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2753085900.pdf","grobid_xml":"https://content.openalex.org/works/W2753085900.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W305332711","https://openalex.org/W1486701957","https://openalex.org/W1576060020","https://openalex.org/W1977070309","https://openalex.org/W1986670726","https://openalex.org/W1986788497","https://openalex.org/W2005380085","https://openalex.org/W2025241285","https://openalex.org/W2035589693","https://openalex.org/W2047653767","https://openalex.org/W2055914506","https://openalex.org/W2066588956","https://openalex.org/W2074973369","https://openalex.org/W2077464783","https://openalex.org/W2078606868","https://openalex.org/W2078790163","https://openalex.org/W2081547360","https://openalex.org/W2086705948","https://openalex.org/W2095321423","https://openalex.org/W2132775908","https://openalex.org/W2138230302","https://openalex.org/W2152899917","https://openalex.org/W2474343874"],"related_works":["https://openalex.org/W4241501014","https://openalex.org/W60949443","https://openalex.org/W2030002359","https://openalex.org/W4225356235","https://openalex.org/W1679891066","https://openalex.org/W2887160056","https://openalex.org/W2056066177","https://openalex.org/W2478687064","https://openalex.org/W2110362610","https://openalex.org/W2069277771"],"abstract_inverted_index":{"A":[0],"fundamental":[1],"question":[2,243],"in":[3,53,106,203,229],"computational":[4],"nonlinear":[5,44,50,83,218,233],"partial":[6,45],"differential":[7,46],"equations":[8,85,104],"is":[9,41,73,159,176],"raised":[10],"to":[11,101,161,200],"discover":[12],"if":[13],"one":[14],"could":[15],"construct":[16],"a":[17,42,107,135,169,173,211,224,239],"functional":[18,112],"iterative":[19],"algorithm":[20,114,119,158,209],"for":[21,134,186],"the":[22,28,38,57,59,78,90,97,102,121,140,156,179,184,191,195,204,208,217,221,241],"regularized":[23],"long-wave":[24],"(RLW)":[25],"equation":[26,35,40],"(or":[27,154],"Benjamin\u2013Bona\u2013Mahony":[29],"equation)":[30],"based":[31],"on":[32,172,178],"an":[33],"integral":[34,84,103],"formalism?":[36],"Here,":[37],"RLW":[39,79],"third-order":[43],"equation,":[47],"describing":[48],"physically":[49],"dispersive":[51],"waves":[52],"shallow":[54],"water.":[55],"For":[56],"question,":[58],"concept":[60],"of":[61,86,96,123,126,143,148,183,190,197,216,223],"pseudo-parameter,":[62],"suggested":[63],"by":[64],"Jang":[65,149],"(Commun":[66],"Nonlinear":[67],"Sci":[68],"Numer":[69],"Simul":[70],"43:118\u2013138,":[71],"2017),":[72],"introduced":[74],"and":[75,110,181],"incorporated":[76],"into":[77],"equation.":[80],"Thereby,":[81],"dual":[82],"second":[87],"kind":[88],"involving":[89],"parameter":[91],"are":[92,236],"formulated.":[93],"The":[94,117],"application":[95],"fixed":[98],"point":[99],"theorem":[100],"results":[105],"new":[108,118,124],"(semi-analytic":[109],"derivative-free)":[111],"iteration":[113,157,185],"(as":[115],"required).":[116],"allows":[120],"exploration":[122],"regimes":[125],"pseudo-parameters,":[127,192],"so":[128],"that":[129,147],"it":[130],"can":[131],"be":[132,162,245],"valid":[133],"much":[136],"wider":[137],"range":[138],"(in":[139],"complex":[141,188,205],"plane)":[142],"pseudo-parameter":[144],"values":[145,189],"than":[146],"(2017).":[150],"Being":[151],"fairly":[152],"simple":[153],"straightforward),":[155],"found":[160],"not":[163],"only":[164],"stable":[165],"but":[166],"accurate.":[167],"Specifically,":[168],"numerical":[170],"experiment":[171],"solitary":[174],"wave":[175,227,234],"performed":[177],"convergence":[180,198],"accuracy":[182],"various":[187],"further":[193],"providing":[194],"regions":[196],"subject":[199],"some":[201],"constraints":[202],"plane.":[206],"Moreover,":[207],"yields":[210],"particularly":[212],"relevant":[213],"physical":[214],"investigation":[215],"behavior":[219],"near":[220],"front":[222],"slowly":[225],"varying":[226],"train,":[228],"which,":[230],"indeed,":[231],"interesting":[232],"features":[235],"demonstrated.":[237],"As":[238],"consequence,":[240],"preceding":[242],"may":[244],"answered.":[246]},"counts_by_year":[{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
