Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method |
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Authors: | Jincun LiuGuolin Hou |
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Institution: | School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, PR China |
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Abstract: | In this paper, by introducing the fractional derivative in the sense of Caputo, the generalized two-dimensional differential transform method (DTM) is directly applied to solve the coupled Burgers equations with space- and time-fractional derivatives. The presented method is a numerical method based on the generalized Taylor series formula which constructs an analytical solution in the form of a polynomial. Several illustrative examples are given to demonstrate the effectiveness of the generalized two-dimensional DTM for the equations. |
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Keywords: | Fractional coupled Burgers equations Caputo fractional derivative Differential transform method Numerical solutions Generalized Taylor series formula |
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