Approximate solutions for boundary value problems of time-fractional wave equation

Zaid M. Odibat; Shaher Momani

doi:10.1016/j.amc.2006.02.004

Approximate solutions for boundary value problems of time-fractional wave equation

Zaid M. Odibat
, Shaher Momani

Al-Balqa Applied University
University of Mutah

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

87 Scopus citations

Abstract

In this article, we implement relatively a new analytical technique, the Adomian decomposition method, for solving the boundary value problems of time-fractional wave equation. The fractional derivative is described in the Caputo sense. The decomposition method is used to construct analytical approximate solutions of time-fractional wave equation subject to specified boundary conditions. The solutions are calculated in the form of a convergent series with easily computable components. Some examples are given. The results reveal that the Adomian method is very effective and convenient.

Original language	English
Pages (from-to)	767-774
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	181
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2006.02.004
State	Published - 1 Oct 2006
Externally published	Yes

Keywords

Adomian decomposition method
Caputo fractional derivative
Mittag-Leffler function
Time-fractional wave equation

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10.1016/j.amc.2006.02.004

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abstract = "In this article, we implement relatively a new analytical technique, the Adomian decomposition method, for solving the boundary value problems of time-fractional wave equation. The fractional derivative is described in the Caputo sense. The decomposition method is used to construct analytical approximate solutions of time-fractional wave equation subject to specified boundary conditions. The solutions are calculated in the form of a convergent series with easily computable components. Some examples are given. The results reveal that the Adomian method is very effective and convenient.",

keywords = "Adomian decomposition method, Caputo fractional derivative, Mittag-Leffler function, Time-fractional wave equation",

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AU - Momani, Shaher

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N2 - In this article, we implement relatively a new analytical technique, the Adomian decomposition method, for solving the boundary value problems of time-fractional wave equation. The fractional derivative is described in the Caputo sense. The decomposition method is used to construct analytical approximate solutions of time-fractional wave equation subject to specified boundary conditions. The solutions are calculated in the form of a convergent series with easily computable components. Some examples are given. The results reveal that the Adomian method is very effective and convenient.

AB - In this article, we implement relatively a new analytical technique, the Adomian decomposition method, for solving the boundary value problems of time-fractional wave equation. The fractional derivative is described in the Caputo sense. The decomposition method is used to construct analytical approximate solutions of time-fractional wave equation subject to specified boundary conditions. The solutions are calculated in the form of a convergent series with easily computable components. Some examples are given. The results reveal that the Adomian method is very effective and convenient.

KW - Adomian decomposition method

KW - Caputo fractional derivative

KW - Mittag-Leffler function

KW - Time-fractional wave equation

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Approximate solutions for boundary value problems of time-fractional wave equation

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Keywords

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