Numerical solution of the Klein–Gordon equation via He’s variational iteration method

被引：0
作者：
Fatemeh Shakeri
Mehdi Dehghan
机构：
[1] Amirkabir University of Technology,Department of Applied Mathematics, Faculty of Mathematics and Computer Science
来源：
Nonlinear Dynamics | 2008年 / 51卷
关键词：
Klein–Gordon equation; Variational iteration method; Small perturbations; Mesh points schemes; Quantum mechanics;
D O I：
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学科分类号：
摘要：
In this paper, we present the solution of the Klein--Gordon equation. Klein--Gordon equation is the relativistic version of the Schrödinger equation, which is used to describe spinless particles. The He’s variational iteration method (VIM) is implemented to give approximate and analytical solutions for this equation. The variational iteration method is based on the incorporation of a general Lagrange multiplier in the construction of correction functional for the equation. Application of variational iteration technique to this problem shows rapid convergence of the sequence constructed by this method to the exact solution. Moreover, this technique reduces the volume of calculations by avoiding discretization of the variables, linearization or small perturbations.
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页码：89 / 97
页数：8
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