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Home  >  Volume 55

3. ANALYTICAL SOLUTION OF THE THIRD-ORDER KORTEWEG-DE VRIES (KDV) EQUATION by Shittu M.T, Usman M.A. and Solanke O.O. Volume 55 (February 2020 Issue)
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ANALYTICAL SOLUTION OF THE THIRD-ORDER KORTEWEG-DE VRIES (KDV) EQUATION

Shittu M.T, Usman M.A. and Solanke O.O.

Department of Mathematical Sciences, Olabisi Onabamjo University, Ago Iwoye.Nigeria

Abstract

In this paper, the approximate solution of the third-order Kortewed-de Vries (KdV)equations is obtained by the Variational Iteration Method (VIM) developed by Ji-Huan He and the New Iterative Method (NIM) developed by Daftardar Gejji and Jafari.

These methods provide the solution in the form of a convergent series. To illustrate the ability and the effectiveness of the methods, some examples were provided. The results showed that the methods are very simple, effective, powerful and can easily be applied to other linear and nonlinear PDEs.

Keywords: Variational iteration Method, New Iterative Method, Korteweg-de Vriesequations, Lagrange multiplier.

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