{"id":"https://openalex.org/W2810728890","doi":"https://doi.org/10.1108/ec-12-2016-0449","title":"Solution of interval shallow water wave equations using homotopy perturbation method","display_name":"Solution of interval shallow water wave equations using homotopy perturbation method","publication_year":2018,"publication_date":"2018-06-28","ids":{"openalex":"https://openalex.org/W2810728890","doi":"https://doi.org/10.1108/ec-12-2016-0449","mag":"2810728890"},"language":"en","primary_location":{"id":"doi:10.1108/ec-12-2016-0449","doi":"https://doi.org/10.1108/ec-12-2016-0449","is_oa":false,"landing_page_url":"https://doi.org/10.1108/ec-12-2016-0449","pdf_url":null,"source":{"id":"https://openalex.org/S607880","display_name":"Engineering Computations","issn_l":"0264-4401","issn":["0264-4401","1758-7077"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering Computations","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5053116885","display_name":"Perumandla Karunakar","orcid":"https://orcid.org/0000-0002-1823-2366","observed_orcids":["https://orcid.org/0000-0002-1823-2366"]},"institutions":[{"id":"https://openalex.org/I16292982","display_name":"National Institute of Technology Rourkela","ror":"https://ror.org/011gmn932","country_code":"IN","type":"education","lineage":["https://openalex.org/I16292982"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Perumandla Karunakar","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Rourkela, Rourkela, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Rourkela, Rourkela, India","institution_ids":["https://openalex.org/I16292982"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017042977","display_name":"Snehashish Chakraverty","orcid":"https://orcid.org/0000-0003-4857-644X","observed_orcids":["https://orcid.org/0000-0003-4857-644X"]},"institutions":[{"id":"https://openalex.org/I16292982","display_name":"National Institute of Technology Rourkela","ror":"https://ror.org/011gmn932","country_code":"IN","type":"education","lineage":["https://openalex.org/I16292982"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Snehashish Chakraverty","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Rourkela, Rourkela, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Rourkela, Rourkela, India","institution_ids":["https://openalex.org/I16292982"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I16292982"],"apc_list":null,"apc_paid":null,"fwci":0.9583,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.77024715,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"35","issue":"4","first_page":"1610","last_page":"1624"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9800000190734863,"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":0.9800000190734863,"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":0.006800000090152025,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.0019000000320374966,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/shallow-water-wave-equation","display_name":"shallow water wave equation","score":0.8769999742507935},{"id":"https://openalex.org/keywords/interval-uncertainty","display_name":"interval uncertainty","score":0.8880000114440918},{"id":"https://openalex.org/keywords/homotopy-perturbation-method","display_name":"homotopy perturbation method","score":0.9739999771118164},{"id":"https://openalex.org/keywords/interval-analysis","display_name":"interval analysis","score":0.38600000739097595},{"id":"https://openalex.org/keywords/nonlinear-partial-differential-equations","display_name":"nonlinear partial differential equations","score":0.6919999718666077}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6791236400604248},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6271346807479858},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6195014119148254},{"id":"https://openalex.org/C140295346","wikidata":"https://www.wikidata.org/wiki/Q4008384","display_name":"Shallow water equations","level":2,"score":0.6186962723731995},{"id":"https://openalex.org/C186348155","wikidata":"https://www.wikidata.org/wiki/Q7975538","display_name":"Waves and shallow water","level":2,"score":0.5095329880714417},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.505092203617096},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46051421761512756},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4307711720466614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4151475131511688},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.11013594269752502},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0958276093006134},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.082000732421875},{"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/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1108/ec-12-2016-0449","doi":"https://doi.org/10.1108/ec-12-2016-0449","is_oa":false,"landing_page_url":"https://doi.org/10.1108/ec-12-2016-0449","pdf_url":null,"source":{"id":"https://openalex.org/S607880","display_name":"Engineering Computations","issn_l":"0264-4401","issn":["0264-4401","1758-7077"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering Computations","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W204929232","https://openalex.org/W1510674250","https://openalex.org/W1901496577","https://openalex.org/W1966035457","https://openalex.org/W1972966256","https://openalex.org/W1980014272","https://openalex.org/W2033689671","https://openalex.org/W2034038007","https://openalex.org/W2039101436","https://openalex.org/W2043522025","https://openalex.org/W2048340545","https://openalex.org/W2058756359","https://openalex.org/W2063069850","https://openalex.org/W2069747112","https://openalex.org/W2080295907","https://openalex.org/W2087226000","https://openalex.org/W2092564571","https://openalex.org/W2109883060","https://openalex.org/W2165917005","https://openalex.org/W2188642085","https://openalex.org/W2277523635","https://openalex.org/W2330598129","https://openalex.org/W2343963437"],"related_works":["https://openalex.org/W2884187438","https://openalex.org/W2741042513","https://openalex.org/W4315797342","https://openalex.org/W4229015065","https://openalex.org/W3128942277","https://openalex.org/W4309671701","https://openalex.org/W1965798456","https://openalex.org/W4401732147","https://openalex.org/W2329957458","https://openalex.org/W2050167605"],"abstract_inverted_index":{"Purpose":[0],"This":[1],"paper":[2],"aims":[3],"to":[4,59,69,163,232],"present":[5],"solutions":[6],"of":[7,79,89,130,185,197],"uncertain":[8,127,174,198],"linear":[9,134],"and":[10,23,43,51,98,135],"non-linear":[11,136],"shallow":[12,26,72,90,137,199],"water":[13,27,73,91,138,200],"wave":[14,28,74,92,139,201],"equations.":[15,172,202],"The":[16],"uncertainty":[17,155,207],"has":[18,56,66,191,226],"been":[19,31,47,57,67,192,227],"taken":[20,48],"as":[21,49,108,110,126,180],"interval":[22,25,50,62,71,133,206],"one-dimensional":[24],"equations":[29,93,140],"have":[30,46],"solved":[32,142],"by":[33],"homotopy":[34],"perturbation":[35],"method":[36],"(HPM).":[37],"In":[38],"this":[39,144,230],"study,":[40],"basin":[41,96,106],"depth":[42,97],"initial":[44,99,111],"conditions":[45],"the":[52,61,77,105,159,164,169,183,186,195,205,211,234],"single":[53,80,147,222],"parametric":[54,81,148,175,223],"concept":[55],"used":[58,68],"handle":[60,233],"uncertainty.":[63],"Design/methodology/approach":[64],"HPM":[65,225],"solve":[70],"equation":[75],"with":[76,94],"help":[78],"concept.":[82],"Findings":[83],"Previously,":[84],"few":[85],"authors":[86],"found":[87,116],"solution":[88,196],"crisp":[95,118],"conditions.":[100],"But,":[101],"in":[102,117,128,143,158,168,210,229],"actual":[103],"sense,":[104],"depth,":[107],"well":[109],"conditions,":[112],"may":[113,177],"not":[114,219],"be":[115,178],"form.":[119],"As":[120,152],"such,":[121],"here":[122],"these":[123],"are":[124,141,218],"considered":[125,179],"term":[129],"intervals.":[131],"Hence,":[132],"study":[145,231],"using":[146],"concept-based":[149,224],"HPM.":[150],"Originality/value":[151],"mentioned":[153],"above,":[154],"is":[156,208],"must":[157],"above-titled":[160],"problems":[161],"due":[162],"various":[165],"parametrics":[166],"involved":[167,209],"governing":[170],"differential":[171,213],"These":[173],"values":[176],"interval.":[181],"To":[182],"best":[184],"authors\u2019":[187],"knowledge,":[188],"no":[189],"work":[190],"reported":[193],"on":[194],"But":[203],"when":[204],"above":[212],"equation,":[214],"then":[215],"direct":[216],"methods":[217],"available.":[220],"Accordingly,":[221],"applied":[228],"said":[235],"problems.":[236]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2018-07-10T00:00:00"}
