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Home  >  Volume 35

The Variational Iteration Method for Solving Linear and Nonlinear Problems That Arise in Mathematical Physics by M.O Olayiwola (pages 65-72)
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In this paper, Variational Iteration Method (VIM) is presented to further study and obtain the numerical solutions for the initial value problems of Klein-Gordon and sine-Gordon equations. Both linear and nonlinear cases are considered. Six examples are solved based on the method to illustrate its efficiency and applicability. The Method is flexible and has the ability to solve linear and nonlinear equations accurately and conveniently.

Keywords:Variational iteration method, initial value problem, Klein-Gordon equation, sine-Gordon equation