Exact solutions to nonlinear diffusion equations achieved by homotopy analysis method

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Date

2011

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World Acad Union-World Acad Press

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info:eu-repo/semantics/closedAccess

Abstract

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.

Description

5th International Conference on Management Science and Engineering Management -- NOV 07-09, 2011 -- Macau, PEOPLES R CHINA

Keywords

Solutions, Nonlinear Diffusion, Power Law Diffusivity, Homotopy Analysis Method

Journal or Series

Proceedings Of The Fifth International Conference On Management Science And Engineering Management

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N/A

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