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

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

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.

Keywords: fractional coupled KdV equations Caputo fractional derivative differential transform method approximate analytic solution

Received: 16 March 2010
Revised: 18 June 2010
Accepted manuscript online:

PACS:	02.10.De	(Algebraic structures and number theory)
	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)

Fund: 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).

Cite this article:

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 2010 Chin. Phys. B 19 110203

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

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