Exact solutions to nonlinear diffusion equations achieved by homotopy analysis method
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Date
2011
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Publisher
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