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Liu, Jincun; Hou, Guolin

Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method. (English) Zbl 1213.65131

Appl. Math. Comput. 217, No. 16, 7001-7008 (2011).
Summary: 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.

Cited in 1 Review
Cited in 58 Documents

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
35R11 Fractional partial differential equations

Keywords:

fractional coupled Burgers equations; Caputo fractional derivative; differential transform method; generalized Taylor series formula; numerical examples

Software:

BVPh
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Full Text: DOI

References:

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