New approximate solution for time-fractional coupled KdV equations by generalised differential transform method |
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Authors: | Liu Jin-Cun and Hou Guo-Lin |
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Affiliation: | School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China;School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China |
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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. |
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Keywords: | fractional coupled KdV equations Caputo fractional derivative differential transform method approximate analytic solution |
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