Numerical solution of Klein-Gordon equation by using the Adomian's decomposition and variational iterative methods

numerical solution of klein-gordon equation by using the adomian's decomposition and variational iterative methods

numerical solution of klein-gordon equation by using the adomian's decomposition and variational iterative methods

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Numerical Solution of Sawada-Kotera equation by using Iterative Methods

numerical solution of sawada-kotera equation by using iterative methods

Numerical solution of fuzzy Hunter-Saxton equation by using Adomian decomposition and Homotopy analysis methods

In this paper, a fuzzy Hunter-Saxton equation is solved by using the Adomian'sdecomposition method (ADM) and homotopy analysis method (HAM). Theapproximation solution of this equation is calculated in the form of series whichits components are computed by applying a recursive relation. The existenceand uniqueness of the solution and the convergence of the proposed methodsare proved. A numerical...

Time-fractional Klein-Gordon equation: formulation and solution using variational methods

This paper presents the formulation of time-fractional Klein-Gordon equation using the Euler-Lagrange variational technique in the Riesz derivative sense and derives an approximate solitary wave solution. Our results witness that He’s variational iteration method was very efficient and powerful technique in finding the solution of the proposed equation. The basic idea described in this paper is...