Reduced Differential Transform Method for Generalized KdV Equations

Yıldıray Keskin; Galip Oturanç

doi:10.3390/mca15030382

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Article

1 December 2010

Reduced Differential Transform Method for Generalized KdV Equations

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Department of Mathematics, Science Faculty Selçuk University, Konya 42003, Turkey

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Math. Comput. Appl.2010, 15(3), 382-393;https://doi.org/10.3390/mca15030382

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Abstract

In this paper, a general framework of the reduced differential transform method is presented for solving the generalized Korteweg–de Vries equations. This technique doesn’t require any discretization, linearization or small perturbations and therefore it reduces significantly the numerical computation. Comparing the methodology with some known techniques shows that the present approach is effective and powerful. In addition, three test problems of mathematical physics are discussed to illustrate the effectiveness and the performance of the reduced differential transform method.

Keywords:

Reduced differential transform method; Adomian decomposition method; Variational iteration method; Homotopy perturbation method; Korteweg–de Vries equations

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