Exact solutions to nonlinear diffusion equations achieved by homotopy analysis method

被引：0

作者：

Aglrseven, Deniz ^{[1
]}

Ozis, Turgut ^{[2
]}

机构：

[1] Trakya Univ, Fac Sci & Letters, Dept Math, TR-22030 Edirne, Turkey

[2] Ege Univ, Fac Sci, Dept Math, TR-35100 Bornova, Turkey

来源：

PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON MANAGEMENT SCIENCE AND ENGINEERING MANAGEMENT | 2011年

关键词：

solutions; nonlinear diffusion; power law diffusivity; homotopy analysis method;

D O I：

暂无

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we introduce a frame to achieve exact solutions to the nonlinear diffusion equations by utilizing homotopy analysis method. Exact solutions are obtained for some physically important diffusion processes of power law diffusivities. The method is accomplished by significantly decreasing the size of computational domain. The method presents a general way so that it can be used in additional diffusion classes.

引用

页码：20 / 25

页数：6

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