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.
Highlights
Yıldıray Keskin and Galip OturançAbstract- In this paper, a general framework of the reduced differential transform method is presented for solving the generalized Korteweg–de Vries equations
Partial differential equations (PDEs) have numerous essential applications in various fields of science and engineering such as fluid mechanic, thermodynamic, heat transfer, physics [1]
Most of scientists applied numerical methods to find the solution of these equations, solving such equations analytically is of fundamental importance since the existent numerical methods which approximate the solution of partial differential equations don’t result in such an exact and analytical solution which is obtained by analytical methods
Summary
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 it reduces significantly the numerical computation. Comparing the methodology with some known techniques shows that the present approach is effective and powerful. Three test problems of mathematical physics are discussed to illustrate the effectiveness and the performance of the reduced differential transform method
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