New approximate solution for time-fractional coupled KdV equations by generalised differential transform method

doi:10.1088/1674-1056/19/11/110203

中国物理B ›› 2010, Vol. 19 ›› Issue (11): 110203-110305.doi: 10.1088/1674-1056/19/11/110203

New approximate solution for time-fractional coupled KdV equations by generalised differential transform method

刘金存, 侯国林

School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China

收稿日期:2010-03-16 修回日期:2010-06-18 出版日期:2010-11-15 发布日期:2010-11-15
基金资助:
Project supported by the Natural Science Foundation of Inner Mongolia of China (Grant No. 20080404MS0104), and the Young Scientists Fund of Inner Mongolia University of China (Grant No. ND0811).

New approximate solution for time-fractional coupled KdV equations by generalised differential transform method

Liu Jin-Cun(刘金存) and Hou Guo-Lin(侯国林)^†ger

School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China

Received:2010-03-16 Revised:2010-06-18 Online:2010-11-15 Published:2010-11-15
Supported by:
Project supported by the Natural Science Foundation of Inner Mongolia of China (Grant No. 20080404MS0104), and the Young Scientists Fund of Inner Mongolia University of China (Grant No. ND0811).

摘要/Abstract

摘要： In this paper, the generalised two-dimensional differential transform method (DTM) of solving the time-fractional coupled KdV equations is proposed. The fractional derivative is described in the Caputo sense. The presented method is a numerical method based on the generalised Taylor series expansion which constructs an analytical solution in the form of a polynomial. An illustrative example shows that the generalised two-dimensional DTM is effective for the coupled equations.

Abstract: In this paper, the generalised two-dimensional differential transform method (DTM) of solving the time-fractional coupled KdV equations is proposed. The fractional derivative is described in the Caputo sense. The presented method is a numerical method based on the generalised Taylor series expansion which constructs an analytical solution in the form of a polynomial. An illustrative example shows that the generalised two-dimensional DTM is effective for the coupled equations.

Key words: fractional coupled KdV equations, Caputo fractional derivative, differential transform method, approximate analytic solution

中图分类号: (Algebraic structures and number theory)

02.10.De

02.30.Jr (Partial differential equations) 02.30.Lt (Sequences, series, and summability) 02.30.Mv (Approximations and expansions) 02.60.Lj (Ordinary and partial differential equations; boundary value problems)

刘金存, 侯国林. New approximate solution for time-fractional coupled KdV equations by generalised differential transform method[J]. 中国物理B, 2010, 19(11): 110203-110305.

Liu Jin-Cun(刘金存) and Hou Guo-Lin(侯国林). New approximate solution for time-fractional coupled KdV equations by generalised differential transform method[J]. Chin. Phys. B, 2010, 19(11): 110203-110305.

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New approximate solution for time-fractional coupled KdV equations by generalised differential transform method

New approximate solution for time-fractional coupled KdV equations by generalised differential transform method

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