Asymptotic Solution to a Nonlinear Diffusion Process by Chien-Latta’s Method

Liang Jian-hua

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Liang Jian-hua. Asymptotic Solution to a Nonlinear Diffusion Process by Chien-Latta’s Method[J]. Applied Mathematics and Mechanics, 1983, 4(5): 691-702.

Citation:

Liang Jian-hua. Asymptotic Solution to a Nonlinear Diffusion Process by Chien-Latta’s Method[J]. Applied Mathematics and Mechanics, 1983, 4(5): 691-702.

Citation:

Liang Jian-hua. Asymptotic Solution to a Nonlinear Diffusion Process by Chien-Latta’s Method[J]. Applied Mathematics and Mechanics, 1983, 4(5): 691-702.

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Asymptotic Solution to a Nonlinear Diffusion Process by Chien-Latta’s Method

Liang Jian-hua

Xian Jiaotong University, Xfan, Shanxi

Received Date: 1982-11-22
Publish Date: 1983-10-15

Abstract

Abstract

In this paper, by using Chien Wei-zang-Latta's composite expansion Method^[5], we have obtained the first-order asymptotic solution to a system of equations for a nonlinear diffusion process, therefore, simplifying and improving the previous work^[4] considerably. Moreover, a kind of complete analytical solution has been given for a special case, and the periodic solution at the bifurcation point has been discussed, the related result being in agreement with the experiments.

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References(8)

References

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