An implicit hybrid method for solving fractional Bagley-Torvik boundary value problem

Muhammed I. Syam; Azza Alsuwaidi; Asia Alneyadi; Safa Al Refai; Sondos Al Khaldi

doi:10.3390/math6070109

An implicit hybrid method for solving fractional Bagley-Torvik boundary value problem

Muhammed I. Syam, Azza Alsuwaidi, Asia Alneyadi, Safa Al Refai, Sondos Al Khaldi

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this article, a modified implicit hybrid method for solving the fractional Bagley-Torvik boundary (BTB) value problem is investigated. This approach is of a higher order. We study the convergence, zero stability, consistency, and region of absolute stability of the modified implicit hybrid method. Three of our numerical examples are presented.

Original language	English
Article number	109
Journal	Mathematics
Volume	6
Issue number	7
DOIs	https://doi.org/10.3390/math6070109
Publication status	Published - Jun 25 2018

Keywords

Convergence
Fractional Bagley-Torvik boundary value problem
Implicit hybrid one-step method

ASJC Scopus subject areas

Mathematics(all)

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10.3390/math6070109

Cite this

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title = "An implicit hybrid method for solving fractional Bagley-Torvik boundary value problem",

abstract = "In this article, a modified implicit hybrid method for solving the fractional Bagley-Torvik boundary (BTB) value problem is investigated. This approach is of a higher order. We study the convergence, zero stability, consistency, and region of absolute stability of the modified implicit hybrid method. Three of our numerical examples are presented.",

keywords = "Convergence, Fractional Bagley-Torvik boundary value problem, Implicit hybrid one-step method",

author = "Syam, {Muhammed I.} and Azza Alsuwaidi and Asia Alneyadi and {Al Refai}, Safa and {Al Khaldi}, Sondos",

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AU - Syam, Muhammed I.

AU - Alsuwaidi, Azza

AU - Alneyadi, Asia

AU - Al Refai, Safa

AU - Al Khaldi, Sondos

PY - 2018/6/25

Y1 - 2018/6/25

N2 - In this article, a modified implicit hybrid method for solving the fractional Bagley-Torvik boundary (BTB) value problem is investigated. This approach is of a higher order. We study the convergence, zero stability, consistency, and region of absolute stability of the modified implicit hybrid method. Three of our numerical examples are presented.

AB - In this article, a modified implicit hybrid method for solving the fractional Bagley-Torvik boundary (BTB) value problem is investigated. This approach is of a higher order. We study the convergence, zero stability, consistency, and region of absolute stability of the modified implicit hybrid method. Three of our numerical examples are presented.

KW - Convergence

KW - Fractional Bagley-Torvik boundary value problem

KW - Implicit hybrid one-step method

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An implicit hybrid method for solving fractional Bagley-Torvik boundary value problem

Abstract

Keywords

ASJC Scopus subject areas

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