{"id":"https://openalex.org/W4406583903","doi":"https://doi.org/10.1142/s0219691325500031","title":"An efficient Chebyshev wavelet collocation technique for the time-fractional Camassa\u2013Holm equation","display_name":"An efficient Chebyshev wavelet collocation technique for the time-fractional Camassa\u2013Holm equation","publication_year":2025,"publication_date":"2025-01-18","ids":{"openalex":"https://openalex.org/W4406583903","doi":"https://doi.org/10.1142/s0219691325500031"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691325500031","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691325500031","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/A5023880041","display_name":"Nasser Aghazadeh","orcid":"https://orcid.org/0000-0003-2705-8942"},"institutions":[{"id":"https://openalex.org/I120217413","display_name":"Izmir Institute of Technology","ror":"https://ror.org/03stptj97","country_code":"TR","type":"education","lineage":["https://openalex.org/I120217413"]},{"id":"https://openalex.org/I51301133","display_name":"Azarbaijan Shahid Madani University","ror":"https://ror.org/05pg2cw06","country_code":"IR","type":"education","lineage":["https://openalex.org/I51301133"]}],"countries":["IR","TR"],"is_corresponding":true,"raw_author_name":"Nasser Aghazadeh","raw_affiliation_strings":["Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran","Department of Mathematics, Izmir Institute of Technology, Izmir, T\u00fcrkiye"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran","institution_ids":["https://openalex.org/I51301133"]},{"raw_affiliation_string":"Department of Mathematics, Izmir Institute of Technology, Izmir, T\u00fcrkiye","institution_ids":["https://openalex.org/I120217413"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023880041"],"corresponding_institution_ids":["https://openalex.org/I120217413","https://openalex.org/I51301133"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01130532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"03","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9944999814033508,"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":0.9944999814033508,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9726999998092651,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9186000227928162,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/chebyshev-filter","display_name":"Chebyshev filter","score":0.7041950821876526},{"id":"https://openalex.org/keywords/chebyshev-equation","display_name":"Chebyshev equation","score":0.6960251331329346},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6798810958862305},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.6391696333885193},{"id":"https://openalex.org/keywords/camassa\u2013holm-equation","display_name":"Camassa\u2013Holm equation","score":0.6087244749069214},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.57071852684021},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5334316492080688},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.5059482455253601},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42615461349487305},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2770538926124573},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.1270337998867035},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.12345218658447266},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07123607397079468},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.05848503112792969}],"concepts":[{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.7041950821876526},{"id":"https://openalex.org/C142484921","wikidata":"https://www.wikidata.org/wiki/Q3890369","display_name":"Chebyshev equation","level":4,"score":0.6960251331329346},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6798810958862305},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.6391696333885193},{"id":"https://openalex.org/C24454023","wikidata":"https://www.wikidata.org/wiki/Q5025006","display_name":"Camassa\u2013Holm equation","level":3,"score":0.6087244749069214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.57071852684021},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5334316492080688},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.5059482455253601},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42615461349487305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2770538926124573},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.1270337998867035},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.12345218658447266},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07123607397079468},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.05848503112792969},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219691325500031","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691325500031","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"},{"id":"pmh:oai:gcris.iyte.edu.tr:11147/15403","is_oa":false,"landing_page_url":"https://hdl.handle.net/11147/15403","pdf_url":null,"source":{"id":"https://openalex.org/S4306400894","display_name":"\u0130YTE (\u0130ZM\u0130R Y\u00dcKSEK TEKNOLOJ\u0130 ENST\u0130T\u00dcS\u00dc)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I120217413","host_organization_name":"Izmir Institute of Technology","host_organization_lineage":["https://openalex.org/I120217413"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1887903210","https://openalex.org/W1899000605","https://openalex.org/W1964137308","https://openalex.org/W1973418968","https://openalex.org/W1979855427","https://openalex.org/W1983899570","https://openalex.org/W2000924596","https://openalex.org/W2013190547","https://openalex.org/W2013363617","https://openalex.org/W2026031976","https://openalex.org/W2055725920","https://openalex.org/W2061209223","https://openalex.org/W2069891873","https://openalex.org/W2107545409","https://openalex.org/W2132984323","https://openalex.org/W2158721499","https://openalex.org/W2586807479","https://openalex.org/W2912697496","https://openalex.org/W2955372169","https://openalex.org/W2970104767","https://openalex.org/W3157840204","https://openalex.org/W3165258472","https://openalex.org/W3201116717","https://openalex.org/W4223516921","https://openalex.org/W4225858257","https://openalex.org/W4255272544"],"related_works":["https://openalex.org/W2179563627","https://openalex.org/W2043532630","https://openalex.org/W2112919228","https://openalex.org/W2136992695","https://openalex.org/W2054912819","https://openalex.org/W2382532955","https://openalex.org/W2039062045","https://openalex.org/W2541927208","https://openalex.org/W3136258052","https://openalex.org/W2106962382"],"abstract_inverted_index":{"By":[0],"employing":[1],"the":[2,24,29,33,36,44,53,64,72,76,87,94,115],"third-order":[3,14,100],"Chebyshev":[4,25,66],"collocation":[5,68],"technique":[6],"along":[7],"with":[8,107],"relevant":[9],"wavelets,":[10],"we":[11,51,62,90],"tackle":[12],"a":[13,57,80,99],"singular":[15],"fractional":[16],"partial":[17],"differential":[18],"equation":[19,47,97],"(PDE).":[20],"We":[21],"directly":[22],"build":[23],"operation":[26],"matrix":[27],"of":[28,35,46,59,82],"third":[30],"kind,":[31],"avoiding":[32],"use":[34],"block-pulse":[37],"function":[38],"or":[39],"any":[40],"approximations.":[41],"To":[42,85],"reduce":[43],"order":[45],"in":[48],"this":[49],"approach,":[50],"transform":[52],"higher-order":[54],"PDEs":[55],"into":[56,79],"system":[58,74],"PDEs.":[60],"Next,":[61],"utilize":[63],"third-kind":[65],"wavelet":[67],"method":[69],"to":[70,93,113],"convert":[71],"resulting":[73],"from":[75,109],"prior":[77],"step":[78],"set":[81],"algebraic":[83],"equations.":[84],"demonstrate":[86],"method\u2019s":[88,116],"effectiveness,":[89],"apply":[91],"it":[92],"time-fractional":[95],"Camassa\u2013Holm":[96],"and":[98,118],"time-singular":[101],"PDE.":[102],"The":[103],"outcomes":[104],"are":[105],"compared":[106],"those":[108],"several":[110],"established":[111],"methods":[112],"illustrate":[114],"efficiency":[117],"practicality.":[119]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
