{"id":"https://openalex.org/W2586033010","doi":"https://doi.org/10.1109/icarcv.2016.7838857","title":"A new implicit numerical scheme for fractional sub-diffusion equation","display_name":"A new implicit numerical scheme for fractional sub-diffusion equation","publication_year":2016,"publication_date":"2016-11-01","ids":{"openalex":"https://openalex.org/W2586033010","doi":"https://doi.org/10.1109/icarcv.2016.7838857","mag":"2586033010"},"language":"en","primary_location":{"id":"doi:10.1109/icarcv.2016.7838857","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2016.7838857","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 14th International Conference on Control, Automation, Robotics and Vision (ICARCV)","raw_type":"proceedings-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/A5102958884","display_name":"Xuhao Li","orcid":"https://orcid.org/0000-0001-5978-4995"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Xuhao Li","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034538676","display_name":"Patricia J. Y. Wong","orcid":"https://orcid.org/0000-0001-8375-5553"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Patricia J. Y. Wong","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102958884"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.13885848,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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":1.0,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9997000098228455,"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/T10514","display_name":"Numerical methods in engineering","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6986451745033264},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6810157299041748},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.5879978537559509},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5785955786705017},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5779387950897217},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.569068431854248},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5579501986503601},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5030028223991394},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.47431087493896484},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4138595163822174},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35431963205337524},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3397587537765503},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31863588094711304},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06908407807350159}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6986451745033264},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6810157299041748},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.5879978537559509},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5785955786705017},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5779387950897217},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.569068431854248},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5579501986503601},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5030028223991394},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.47431087493896484},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4138595163822174},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35431963205337524},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3397587537765503},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31863588094711304},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06908407807350159},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icarcv.2016.7838857","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2016.7838857","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 14th International Conference on Control, Automation, Robotics and Vision (ICARCV)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W207094665","https://openalex.org/W617317968","https://openalex.org/W1605182429","https://openalex.org/W1966258563","https://openalex.org/W1975922398","https://openalex.org/W1977696410","https://openalex.org/W1984091802","https://openalex.org/W1995136147","https://openalex.org/W2034850563","https://openalex.org/W2038588805","https://openalex.org/W2042993252","https://openalex.org/W2044299357","https://openalex.org/W2052346193","https://openalex.org/W2056516362","https://openalex.org/W2057206818","https://openalex.org/W2058394796","https://openalex.org/W2067040719","https://openalex.org/W2075099215","https://openalex.org/W2081484331","https://openalex.org/W2086512227","https://openalex.org/W2091244859","https://openalex.org/W2092718516","https://openalex.org/W2111271983","https://openalex.org/W2123590108","https://openalex.org/W2259227674","https://openalex.org/W2506586217","https://openalex.org/W4247953052"],"related_works":["https://openalex.org/W2102789413","https://openalex.org/W2096467061","https://openalex.org/W1965237235","https://openalex.org/W4230788905","https://openalex.org/W2052500721","https://openalex.org/W2940603871","https://openalex.org/W1532287630","https://openalex.org/W2028331352","https://openalex.org/W4299508867","https://openalex.org/W4226214462"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"shall":[4],"develop":[5],"a":[6,10],"numerical":[7,48,56],"scheme":[8,25],"for":[9],"fractional":[11],"sub-diffusion":[12],"problem":[13],"using":[14],"parametric":[15],"quintic":[16],"spline.":[17],"The":[18],"solvability,":[19],"convergence":[20,35],"and":[21,29],"stability":[22],"of":[23,54],"the":[24,34,52,55],"will":[26],"be":[27],"established":[28],"it":[30],"is":[31,37],"shown":[32],"that":[33],"order":[36],"higher":[38],"than":[39],"some":[40],"earlier":[41],"work":[42],"done.":[43],"We":[44],"also":[45],"present":[46],"two":[47],"examples":[49],"to":[50],"illustrate":[51],"effectiveness":[53],"scheme.":[57]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
