Approximate analytical solutions for a class of nonlinear differential equations

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

doi:10.7498/aps.56.1549

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.

Keywords:
diffusion equations /

nonlinear boundary value problems /

analytical decomposition /

approximate solution
Authors and contacts
Zheng Lian-Cun²,

Feng Zhi-Feng²,

Zhang Xin-Xin¹

(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
References

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Vol. 56, Issue 3 - 2007-02-05

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