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dc.contributor.authorAsl, Mohammad Shahbazi
dc.contributor.authorJavidi, Mohammad
dc.contributor.authorYan, Yubin
dc.date.accessioned2021-04-20T10:17:10Z
dc.date.available2021-04-20T10:17:10Z
dc.identifierhttps://chesterrep.openrepository.com/bitstream/handle/10034/624459/asljavyan.pdf?sequence=1
dc.identifier.citationAsl, M. S., Javidi, M. & Yan, Y. (2021). High order algorithms for numerical solution of fractional differential equations. Advances in Difference Equations, 111. https://doi.org/10.1186/s13662-021-03273-4en_US
dc.identifier.issn1687-1839
dc.identifier.urihttp://hdl.handle.net/10034/624459
dc.descriptionThis document is the Accepted Manuscript version of a published work that appeared in final form in [Advances in Difference Equations]. To access the final edited and published work see http://dx.doi.org/10.1186/s13662-021-03273-4.en_US
dc.description.abstractIn this paper, two novel high order numerical algorithms are proposed for solving fractional differential equations where the fractional derivative is considered in the Caputo sense. The total domain is discretized into a set of small subdomains and then the unknown functions are approximated using the piecewise Lagrange interpolation polynomial of degree three and degree four. The detailed error analysis is presented, and it is analytically proven that the proposed algorithms are of orders 4 and 5. The stability of the algorithms is rigorously established and the stability region is also achieved. Numerical examples are provided to check the theoretical results and illustrate the efficiency and applicability of the novel algorithms.en_US
dc.publisherSpringerOpenen_US
dc.relation.urlhttps://link.springer.com/article/10.1186/s13662-021-03273-4#citeasen_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.subjectFractional differential equationen_US
dc.subjectCaputo fractional derivativeen_US
dc.subjectStability analysisen_US
dc.subjectError estimatesen_US
dc.titleHigh order algorithms for numerical solution of fractional differential equationsen_US
dc.typeArticleen_US
dc.identifier.eissn1687-1847en_US
dc.contributor.departmentUniversity of Chester; University of Tabrizen_US
dc.identifier.journalAdvances in Difference Equationsen_US
or.grant.openaccessYesen_US
rioxxterms.funderunfundeden_US
rioxxterms.identifier.projectunfundeden_US
rioxxterms.versionAMen_US
rioxxterms.versionofrecord10.1186/s13662-021-03273-4en_US
dcterms.dateAccepted2021-02-02
rioxxterms.publicationdate2021-02-17
dc.date.deposited2021-04-20en_US


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