{"id":"https://openalex.org/W4411704232","doi":"https://doi.org/10.1080/00207160.2025.2522352","title":"A high resolution Legendre wavelet method for sub-diffusion problems on a star-shaped connected graph","display_name":"A high resolution Legendre wavelet method for sub-diffusion problems on a star-shaped connected graph","publication_year":2025,"publication_date":"2025-06-25","ids":{"openalex":"https://openalex.org/W4411704232","doi":"https://doi.org/10.1080/00207160.2025.2522352"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2025.2522352","doi":"https://doi.org/10.1080/00207160.2025.2522352","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2025.2522352","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_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5090337506","display_name":"Mo Faheem","orcid":"https://orcid.org/0000-0002-6595-8485","observed_orcids":["https://orcid.org/0000-0002-6595-8485"]},"institutions":[{"id":"https://openalex.org/I4401726783","display_name":"VIT-AP University","ror":"https://ror.org/007v4hf75","country_code":"IN","type":"education","lineage":["https://openalex.org/I4401726783"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mo Faheem","raw_affiliation_strings":["VIT-AP University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"VIT-AP University","institution_ids":["https://openalex.org/I4401726783"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019365136","display_name":"Satpal Singh","orcid":"https://orcid.org/0000-0002-0865-4338","observed_orcids":["https://orcid.org/0000-0002-0865-4338"]},"institutions":[{"id":"https://openalex.org/I4401726783","display_name":"VIT-AP University","ror":"https://ror.org/007v4hf75","country_code":"IN","type":"education","lineage":["https://openalex.org/I4401726783"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Satpal Singh","raw_affiliation_strings":["VIT-AP University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"VIT-AP University","institution_ids":["https://openalex.org/I4401726783"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018955739","display_name":"Jes\u00fas Vigo-Aguiar","orcid":"https://orcid.org/0000-0002-1921-6579","observed_orcids":["https://orcid.org/0000-0002-1921-6579"]},"institutions":[{"id":"https://openalex.org/I184999862","display_name":"Universidad de Salamanca","ror":"https://ror.org/02f40zc51","country_code":"ES","type":"education","lineage":["https://openalex.org/I184999862"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. Vigo-Aguiar","raw_affiliation_strings":["University of Salamanca"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Salamanca","institution_ids":["https://openalex.org/I184999862"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019365136"],"corresponding_institution_ids":["https://openalex.org/I4401726783"],"apc_list":null,"apc_paid":null,"fwci":0.5286,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54049274,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"102","issue":"11","first_page":"1843","last_page":"1864"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9970999956130981,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9970999956130981,"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/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.0005000000237487257,"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"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied 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/legendre-wavelets","display_name":"Legendre wavelets","score":0.9700000286102295},{"id":"https://openalex.org/keywords/subdiffusion","display_name":"subdiffusion","score":0.8610000014305115},{"id":"https://openalex.org/keywords/fractional-diffusion","display_name":"fractional diffusion","score":0.4869999885559082},{"id":"https://openalex.org/keywords/fractional-partial-differential-equations","display_name":"fractional partial differential equations","score":0.6050000190734863}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7437169551849365},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.6616716384887695},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6056687831878662},{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.6016520857810974},{"id":"https://openalex.org/C123769847","wikidata":"https://www.wikidata.org/wiki/Q6517888","display_name":"Legendre wavelet","level":5,"score":0.5114399194717407},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46917515993118286},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42993417382240295},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.41637319326400757},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4099670946598053},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3430934548377991},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3145224452018738},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.21733802556991577},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15066349506378174},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.13116830587387085},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08842059969902039}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2025.2522352","doi":"https://doi.org/10.1080/00207160.2025.2522352","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2025.2522352","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_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W101914685","https://openalex.org/W574370508","https://openalex.org/W1584611818","https://openalex.org/W1980149518","https://openalex.org/W1996092669","https://openalex.org/W2060063297","https://openalex.org/W2072746255","https://openalex.org/W2111271983","https://openalex.org/W2774844421","https://openalex.org/W2809021412","https://openalex.org/W2903262661","https://openalex.org/W2955795646","https://openalex.org/W2963596769","https://openalex.org/W2965244530","https://openalex.org/W3048288571","https://openalex.org/W3085729883","https://openalex.org/W3135758533","https://openalex.org/W3170317109","https://openalex.org/W3199757719","https://openalex.org/W3208956748","https://openalex.org/W4308599805","https://openalex.org/W4313891869","https://openalex.org/W4318320894","https://openalex.org/W4324295726","https://openalex.org/W4386222454","https://openalex.org/W4389041407","https://openalex.org/W4390052311","https://openalex.org/W4396691449","https://openalex.org/W4403252467"],"related_works":["https://openalex.org/W2785800136","https://openalex.org/W2512521596","https://openalex.org/W7207765279","https://openalex.org/W3172025975","https://openalex.org/W4308599805","https://openalex.org/W4313891869","https://openalex.org/W4410602738","https://openalex.org/W1996388168","https://openalex.org/W2043742654","https://openalex.org/W2513307962"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,14],"high-resolution":[4],"Legendre":[5,27,45],"wavelet":[6],"method":[7,86],"is":[8,30,57,65,87],"proposed":[9,78],"for":[10,26],"sub-diffusion":[11],"problems":[12],"on":[13],"star-shaped":[15],"connected":[16],"graph":[17],"with":[18,39],"\u03ba":[19],"edges.":[20],"A":[21],"Riemann-Liouville":[22],"fractional":[23],"integral":[24],"operator":[25],"wavelets":[28,46],"(RLFIO-L)":[29],"derived.":[31],"Both":[32],"the":[33,53,69,77,81,85,99],"spatial":[34],"and":[35,47,59,80,90],"temporal":[36],"variables,":[37],"along":[38],"their":[40],"derivatives,":[41],"are":[42,74],"discretized":[43],"using":[44,76],"RLFIO-L.":[48],"The":[49],"upper":[50],"bound":[51],"of":[52,63],"global":[54],"error":[55],"norm":[56],"estimated,":[58],"an":[60],"exponential":[61],"order":[62],"convergence":[64],"achieved.":[66],"To":[67],"verify":[68],"computational":[70],"convergence,":[71],"several":[72],"examples":[73],"solved":[75],"method,":[79],"results":[82,93],"demonstrate":[83],"that":[84],"more":[88],"accurate":[89],"yields":[91],"better":[92],"compared":[94],"to":[95],"those":[96],"available":[97],"in":[98],"literature.":[100]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2025-10-10T00:00:00"}
