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Approximate analytical solutions for a class of nonlinear differential equations

Zhang Xin-Xin Zheng Lian-Cun Feng Zhi-Feng

Approximate analytical solutions for a class of nonlinear differential equations

Zhang Xin-Xin, Zheng Lian-Cun, Feng Zhi-Feng
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  • Abstract views:  3960
  • PDF Downloads:  2003
  • Cited By: 0
Publishing process
  • Received Date:  15 June 2006
  • Accepted Date:  20 August 2006
  • Published Online:  11 July 2007

Approximate analytical solutions for a class of nonlinear differential equations

  • 1. (1)北京科技大学机械工程学院,北京 100083; (2)北京科技大学数学力学系,北京 100083

Abstract: This paper presents a theoretical analysis for a class of generalized diffusion equations. An effective analytical decomposition and numerical technique is given by similarity transformations and the analytical decomposition technique. The approximate analytical solution may be expressed in terms of a rapid convergent power series with elegantly computable terms. The reliability and efficiency of approximate solutions are illustrated by good agreement with numerical results.

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