{"id":"https://openalex.org/W3122638314","doi":"https://doi.org/10.1007/s40314-020-01409-y","title":"An improved collocation method for solving a fractional integro-differential equation","display_name":"An improved collocation method for solving a fractional integro-differential equation","publication_year":2021,"publication_date":"2021-01-18","ids":{"openalex":"https://openalex.org/W3122638314","doi":"https://doi.org/10.1007/s40314-020-01409-y","mag":"3122638314"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-020-01409-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01409-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","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/A5103743929","display_name":"Xiaoguang Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I1300757298","display_name":"Heilongjiang University of Science and Technology","ror":"https://ror.org/030xwyx96","country_code":"CN","type":"education","lineage":["https://openalex.org/I1300757298"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoguang Zhang","raw_affiliation_strings":["College of Science, Heilongjiang University of Science and Technology, Harbin, 150022, Heilongjiang, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Heilongjiang University of Science and Technology, Harbin, 150022, Heilongjiang, People\u2019s Republic of China","institution_ids":["https://openalex.org/I1300757298"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101476596","display_name":"Hong Du","orcid":"https://orcid.org/0000-0002-4246-6939"},"institutions":[{"id":"https://openalex.org/I79223203","display_name":"Guangdong Ocean University","ror":"https://ror.org/0462wa640","country_code":"CN","type":"education","lineage":["https://openalex.org/I79223203"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hong Du","raw_affiliation_strings":["College of Mathematics and Computer Science, GuangDong Ocean University, ZhanJiang, 524000, Guangdong, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-4246-6939","affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, GuangDong Ocean University, ZhanJiang, 524000, Guangdong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I79223203"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101476596"],"corresponding_institution_ids":["https://openalex.org/I79223203"],"apc_list":null,"apc_paid":null,"fwci":0.0908,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.35279681,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"40","issue":"1","first_page":null,"last_page":null},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/superconvergence","display_name":"Superconvergence","score":0.9341346025466919},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7660182118415833},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.7297989130020142},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.6590272188186646},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6223100423812866},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.5558574199676514},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5440856218338013},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.527627170085907},{"id":"https://openalex.org/keywords/integro-differential-equation","display_name":"Integro-differential equation","score":0.5263943672180176},{"id":"https://openalex.org/keywords/method-of-mean-weighted-residuals","display_name":"Method of mean weighted residuals","score":0.4944148063659668},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.484280526638031},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.47725746035575867},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42482882738113403},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13083502650260925},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.1306709349155426},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09885576367378235},{"id":"https://openalex.org/keywords/first-order-partial-differential-equation","display_name":"First-order partial differential equation","score":0.09814402461051941},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.093819260597229},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.08852842450141907},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.07634487748146057},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07284823060035706}],"concepts":[{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.9341346025466919},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7660182118415833},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.7297989130020142},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.6590272188186646},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6223100423812866},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.5558574199676514},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5440856218338013},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.527627170085907},{"id":"https://openalex.org/C70985411","wikidata":"https://www.wikidata.org/wiki/Q2380676","display_name":"Integro-differential equation","level":4,"score":0.5263943672180176},{"id":"https://openalex.org/C159674985","wikidata":"https://www.wikidata.org/wiki/Q6823718","display_name":"Method of mean weighted residuals","level":4,"score":0.4944148063659668},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.484280526638031},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.47725746035575867},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42482882738113403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13083502650260925},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.1306709349155426},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09885576367378235},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.09814402461051941},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.093819260597229},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.08852842450141907},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.07634487748146057},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07284823060035706},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-020-01409-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01409-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7598364224","display_name":null,"funder_award_id":"R20050","funder_id":"https://openalex.org/F4320329021","funder_display_name":"Guangdong Ocean University"},{"id":"https://openalex.org/G8333777408","display_name":null,"funder_award_id":"Q18306","funder_id":"https://openalex.org/F4320329021","funder_display_name":"Guangdong Ocean University"}],"funders":[{"id":"https://openalex.org/F4320329021","display_name":"Guangdong Ocean University","ror":"https://ror.org/0462wa640"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W205381016","https://openalex.org/W1035252786","https://openalex.org/W1527525543","https://openalex.org/W1968631718","https://openalex.org/W1968789390","https://openalex.org/W2011660400","https://openalex.org/W2092474187","https://openalex.org/W2524808745","https://openalex.org/W2586826282","https://openalex.org/W2601529646","https://openalex.org/W2794500091","https://openalex.org/W2944829413","https://openalex.org/W2970881976","https://openalex.org/W2972006136","https://openalex.org/W2985489239","https://openalex.org/W3023645647","https://openalex.org/W3033568144","https://openalex.org/W3087352120","https://openalex.org/W3096644525","https://openalex.org/W3111002386","https://openalex.org/W4247375400","https://openalex.org/W4247465432"],"related_works":["https://openalex.org/W2569604312","https://openalex.org/W2045953892","https://openalex.org/W2067027858","https://openalex.org/W2078318892","https://openalex.org/W2032662168","https://openalex.org/W3126297227","https://openalex.org/W2765372099","https://openalex.org/W2103887709","https://openalex.org/W2185215189","https://openalex.org/W4255016916"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}