Show simple item record

dc.contributor.authorFord, Neville J.*
dc.contributor.authorMorgado, Maria L.*
dc.contributor.authorRebelo, Magda S.*
dc.date.accessioned2014-06-24T12:52:54Z
dc.date.available2014-06-24T12:52:54Z
dc.date.issued2014-06-24
dc.identifier.citationJournal of Computational and Applied Mathematics, February 2015, 275, pp. 392-402en
dc.identifier.issn0377-0427en
dc.identifier.doi10.1016/j.cam.2014.06.013
dc.identifier.urihttp://hdl.handle.net/10034/322216
dc.descriptionNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational and Applied Mathematics, 275, February 2015, doi: 10.1016/j.cam.2014.06.013en
dc.description.abstractIn this paper we propose a non-polynomial collocation method for solving a class of terminal (or boundary) value problems for differential equations of fractional order α, 0 < α < 1. The approach used is based on the equivalence between a problem of this type and a Fredholm integral equation of a particular form. Taking into account the asymptotic behaviour of the solution of this problem, we propose a non-polynomial collocation method on a uniform mesh. We study the order of convergence of the proposed algorithm and a result on optimal order of convergence is obtained. In order to illustrate the theoretical results and the performance of the method we present several numerical examples.
dc.description.sponsorshipThe work was supported by an International Research Excellence Award funded through the Santander Universities scheme.en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.urlhttp://www.journals.elsevier.com/journal-of-computational-and-applied-mathematics/en
dc.subjectnumerical analysisen
dc.subjectcomputational and mathematical modellingen
dc.titleA nonpolynomial collocation method for fractional terminal value problemsen
dc.typeArticleen
dc.contributor.departmentUniversity of Chester ; UTAD, Portugal; Universidade de Nova Lisboa, Portugalen
dc.identifier.journalJournal of Computational and Applied Mathematics
refterms.dateFOA2018-08-13T12:21:42Z
html.description.abstractIn this paper we propose a non-polynomial collocation method for solving a class of terminal (or boundary) value problems for differential equations of fractional order α, 0 < α < 1. The approach used is based on the equivalence between a problem of this type and a Fredholm integral equation of a particular form. Taking into account the asymptotic behaviour of the solution of this problem, we propose a non-polynomial collocation method on a uniform mesh. We study the order of convergence of the proposed algorithm and a result on optimal order of convergence is obtained. In order to illustrate the theoretical results and the performance of the method we present several numerical examples.


Files in this item

Thumbnail
Name:
Publisher version
Thumbnail
Name:
FordMorgadoRebelo_revision5May ...
Size:
251.4Kb
Format:
PDF
Description:
article

This item appears in the following Collection(s)

Show simple item record