Numerical solutions of coupled Burgers equations with time- and space-fractional derivatives

Yong Chen; Hong Li An

doi:10.1016/j.amc.2007.10.050

Numerical solutions of coupled Burgers equations with time- and space-fractional derivatives

Yong Chen^*
, Hong Li An

^*Corresponding author for this work

School of Mathematical Sciences

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

142 Scopus citations

Abstract

In this paper, by introducing the fractional derivative in the sense of Caputo, the Adomian decomposition method is directly extended to study the coupled Burgers equations with time- and space-fractional derivatives. As a result, the realistic numerical solutions are obtained in a form of rapidly convergent series with easily computable components. The figures show the effectiveness and good accuracy of the proposed method.

Original language	English
Pages (from-to)	87-95
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	200
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2007.10.050
State	Published - 15 Jun 2008

Keywords

Adomian decomposition method
Fractional calculus
Fractional coupled nonlinear equations
Numerical solution

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10.1016/j.amc.2007.10.050

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title = "Numerical solutions of coupled Burgers equations with time- and space-fractional derivatives",

abstract = "In this paper, by introducing the fractional derivative in the sense of Caputo, the Adomian decomposition method is directly extended to study the coupled Burgers equations with time- and space-fractional derivatives. As a result, the realistic numerical solutions are obtained in a form of rapidly convergent series with easily computable components. The figures show the effectiveness and good accuracy of the proposed method.",

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AU - Chen, Yong

AU - An, Hong Li

PY - 2008/6/15

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N2 - In this paper, by introducing the fractional derivative in the sense of Caputo, the Adomian decomposition method is directly extended to study the coupled Burgers equations with time- and space-fractional derivatives. As a result, the realistic numerical solutions are obtained in a form of rapidly convergent series with easily computable components. The figures show the effectiveness and good accuracy of the proposed method.

AB - In this paper, by introducing the fractional derivative in the sense of Caputo, the Adomian decomposition method is directly extended to study the coupled Burgers equations with time- and space-fractional derivatives. As a result, the realistic numerical solutions are obtained in a form of rapidly convergent series with easily computable components. The figures show the effectiveness and good accuracy of the proposed method.

KW - Adomian decomposition method

KW - Fractional calculus

KW - Fractional coupled nonlinear equations

KW - Numerical solution

UR - https://www.scopus.com/pages/publications/43049157795

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DO - 10.1016/j.amc.2007.10.050

M3 - 文章

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SN - 0096-3003

VL - 200

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

Numerical solutions of coupled Burgers equations with time- and space-fractional derivatives

Abstract

Keywords

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