A non-polynomial collocation method for fractional terminal value problems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this work we are concerned with the numerical approximation of terminal (or boundary) value problems for fractional differential equations. The approach used is based on the equivalence between this kind of problem and a Fredholm integral equation. Taking into account the potential non-smoothness of the solution of such problems at the origin, we propose a non-polynomial collocation method on a uniform mesh. Some numerical results are presented and we discuss briefly the convergence of the method.
Original languageUnknown
Title of host publicationAIP Conference Proceedings
Pages254-257
DOIs
Publication statusPublished - 1 Jan 2012
EventInternational Conference of Numerical Analysis and Applied Mathematics (ICNAAM) -
Duration: 1 Jan 2012 → …

Conference

ConferenceInternational Conference of Numerical Analysis and Applied Mathematics (ICNAAM)
Period1/01/12 → …

Cite this

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title = "A non-polynomial collocation method for fractional terminal value problems",
abstract = "In this work we are concerned with the numerical approximation of terminal (or boundary) value problems for fractional differential equations. The approach used is based on the equivalence between this kind of problem and a Fredholm integral equation. Taking into account the potential non-smoothness of the solution of such problems at the origin, we propose a non-polynomial collocation method on a uniform mesh. Some numerical results are presented and we discuss briefly the convergence of the method.",
keywords = "Fractional terminal value problems, non-polynomial collocation methods, Fredholm equation",
author = "Rebelo, {Magda Stela de Jesus}",
year = "2012",
month = "1",
day = "1",
doi = "10.1063/1.4756111",
language = "Unknown",
isbn = "978-0-7354-1091-6",
pages = "254--257",
booktitle = "AIP Conference Proceedings",

}

Rebelo, MSDJ 2012, A non-polynomial collocation method for fractional terminal value problems. in AIP Conference Proceedings. pp. 254-257, International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), 1/01/12. https://doi.org/10.1063/1.4756111

A non-polynomial collocation method for fractional terminal value problems. / Rebelo, Magda Stela de Jesus.

AIP Conference Proceedings. 2012. p. 254-257.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

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AU - Rebelo, Magda Stela de Jesus

PY - 2012/1/1

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N2 - In this work we are concerned with the numerical approximation of terminal (or boundary) value problems for fractional differential equations. The approach used is based on the equivalence between this kind of problem and a Fredholm integral equation. Taking into account the potential non-smoothness of the solution of such problems at the origin, we propose a non-polynomial collocation method on a uniform mesh. Some numerical results are presented and we discuss briefly the convergence of the method.

AB - In this work we are concerned with the numerical approximation of terminal (or boundary) value problems for fractional differential equations. The approach used is based on the equivalence between this kind of problem and a Fredholm integral equation. Taking into account the potential non-smoothness of the solution of such problems at the origin, we propose a non-polynomial collocation method on a uniform mesh. Some numerical results are presented and we discuss briefly the convergence of the method.

KW - Fractional terminal value problems

KW - non-polynomial collocation methods

KW - Fredholm equation

U2 - 10.1063/1.4756111

DO - 10.1063/1.4756111

M3 - Conference contribution

SN - 978-0-7354-1091-6

SP - 254

EP - 257

BT - AIP Conference Proceedings

ER -