{"id":"https://openalex.org/W2086554073","doi":"https://doi.org/10.1142/s0219691313500197","title":"APPROXIMATE SOLUTION OF MODIFIED CAMASSA\u2013HOLM AND DEGASPERIS\u2013PROCESI EQUATIONS USING WAVELET OPTIMIZED FINITE DIFFERENCE METHOD","display_name":"APPROXIMATE SOLUTION OF MODIFIED CAMASSA\u2013HOLM AND DEGASPERIS\u2013PROCESI EQUATIONS USING WAVELET OPTIMIZED FINITE DIFFERENCE METHOD","publication_year":2013,"publication_date":"2013-02-20","ids":{"openalex":"https://openalex.org/W2086554073","doi":"https://doi.org/10.1142/s0219691313500197","mag":"2086554073"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691313500197","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691313500197","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","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/A5028105407","display_name":"Ratikanta Behera","orcid":"https://orcid.org/0000-0002-6237-5700"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"RATIKANTA BEHERA","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Delhi, New Delhi - 110016, India","Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, 110016, India#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Delhi, New Delhi - 110016, India","institution_ids":["https://openalex.org/I68891433"]},{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, 110016, India#TAB#","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063069231","display_name":"Mani Mehra","orcid":"https://orcid.org/0000-0002-4261-7784"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"MANI MEHRA","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Delhi, New Delhi - 110016, India","Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, 110016, India#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Delhi, New Delhi - 110016, India","institution_ids":["https://openalex.org/I68891433"]},{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, 110016, India#TAB#","institution_ids":["https://openalex.org/I68891433"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5028105407"],"corresponding_institution_ids":["https://openalex.org/I68891433"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.14793212,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"11","issue":"02","first_page":"1350019","last_page":"1350019"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9958000183105469,"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":0.9794999957084656,"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/wavelet","display_name":"Wavelet","score":0.7085456848144531},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6981632709503174},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6877583861351013},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.599936842918396},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5966387987136841},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5040751695632935},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49539411067962646},{"id":"https://openalex.org/keywords/numerical-partial-differential-equations","display_name":"Numerical partial differential equations","score":0.48759809136390686},{"id":"https://openalex.org/keywords/method-of-characteristics","display_name":"Method of characteristics","score":0.42522504925727844},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4223184883594513},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16905808448791504}],"concepts":[{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.7085456848144531},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6981632709503174},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6877583861351013},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.599936842918396},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5966387987136841},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5040751695632935},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49539411067962646},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.48759809136390686},{"id":"https://openalex.org/C33163149","wikidata":"https://www.wikidata.org/wiki/Q1785085","display_name":"Method of characteristics","level":3,"score":0.42522504925727844},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4223184883594513},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16905808448791504},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691313500197","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691313500197","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","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":19,"referenced_works":["https://openalex.org/W37391854","https://openalex.org/W1980149518","https://openalex.org/W1997858083","https://openalex.org/W2031998851","https://openalex.org/W2034667548","https://openalex.org/W2050523075","https://openalex.org/W2055725920","https://openalex.org/W2066812059","https://openalex.org/W2072263829","https://openalex.org/W2084008580","https://openalex.org/W2093315683","https://openalex.org/W2096684483","https://openalex.org/W2105505702","https://openalex.org/W2160796000","https://openalex.org/W2176197873","https://openalex.org/W3098137244","https://openalex.org/W3170223063","https://openalex.org/W4255137765","https://openalex.org/W4255272544"],"related_works":["https://openalex.org/W2330640442","https://openalex.org/W2392533133","https://openalex.org/W2617981106","https://openalex.org/W4251142058","https://openalex.org/W1965041963","https://openalex.org/W2766044013","https://openalex.org/W1576358144","https://openalex.org/W2791287522","https://openalex.org/W2316277765","https://openalex.org/W4241338871"],"abstract_inverted_index":{"In":[0],"this":[1,136],"paper,":[2],"we":[3,107],"apply":[4],"wavelet":[5,24,34],"optimized":[6],"finite":[7,26],"difference":[8,27],"method":[9,19,28],"to":[10,40,47,69,75,99,111],"solve":[11,112],"modified":[12,15,125,128],"Camassa\u2013Holm":[13,126],"and":[14,78,85,127],"Degasperis\u2013Procesi":[16,129],"equations.":[17],"The":[18,33,54],"is":[20,35,68,97],"based":[21],"on":[22,29],"Daubechies":[23],"with":[25],"an":[30],"arbitrary":[31],"grid.":[32],"used":[36],"at":[37],"regular":[38],"intervals":[39],"adaptively":[41],"select":[42],"the":[43,48,52,133],"grid":[44],"points":[45],"according":[46],"local":[49],"behaviour":[50],"of":[51,56,83,115,135],"solution.":[53],"purpose":[55],"wavelet-based":[57],"numerical":[58],"methods":[59],"for":[60,123],"solving":[61],"linear":[62],"or":[63],"nonlinear":[64,91,101],"partial":[65,92,102,116],"differential":[66,93,103,117],"equations":[67,104],"develop":[70],"adaptive":[71],"schemes,":[72],"in":[73],"order":[74],"achieve":[76],"accuracy":[77],"computational":[79],"efficiency.":[80],"Since":[81],"most":[82],"physical":[84],"scientific":[86],"phenomena":[87],"are":[88,121],"modeled":[89],"by":[90],"equations,":[94,130],"but":[95],"it":[96],"difficult":[98],"handle":[100],"analytically.":[105],"So":[106],"need":[108],"approximate":[109],"solution":[110],"these":[113],"type":[114],"equation.":[118],"Numerical":[119],"results":[120],"presented":[122],"approximating":[124],"which":[131],"demonstrate":[132],"advantages":[134],"method.":[137]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
