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Article

Reduced Differential Transform Method for Generalized KdV Equations

by
Yıldıray Keskin
* and
Galip Oturanç
*
Department of Mathematics, Science Faculty Selçuk University, Konya 42003, Turkey
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2010, 15(3), 382-393; https://doi.org/10.3390/mca15030382
Published: 1 December 2010
Versions Notes

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

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MDPI and ACS Style

Keskin, Y.; Oturanç, G. Reduced Differential Transform Method for Generalized KdV Equations. Math. Comput. Appl. 2010, 15, 382-393. https://doi.org/10.3390/mca15030382

AMA Style

Keskin Y, Oturanç G. Reduced Differential Transform Method for Generalized KdV Equations. Mathematical and Computational Applications. 2010; 15(3):382-393. https://doi.org/10.3390/mca15030382

Chicago/Turabian Style

Keskin, Yıldıray, and Galip Oturanç. 2010. "Reduced Differential Transform Method for Generalized KdV Equations" Mathematical and Computational Applications 15, no. 3: 382-393. https://doi.org/10.3390/mca15030382

APA Style

Keskin, Y., & Oturanç, G. (2010). Reduced Differential Transform Method for Generalized KdV Equations. Mathematical and Computational Applications, 15(3), 382-393. https://doi.org/10.3390/mca15030382

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