Approximate Solution of Nonlinear Klein-Gordon Equation Using Sobolev Gradients

The nonlinear Klein-Gordon equation (KGE) models many nonlinear phenomena. In this paper, we propose a scheme for numerical approximation of solutions of the one-dimensional nonlinear KGE. A common approach to find a solution of a nonlinear system is to first linearize the equations by successive su...

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Bibliographic Details
Main Authors: Nauman Raza, Asma Rashid Butt, Ahmad Javid
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/1391594