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Lie Group Method of the Diffusion Equations

Jian-Qiang Sun, Rong-Fang Huang, Xiao-Yan Gu and Ling Yu

Advances in Mathematical Physics, 2014, vol. 2014, 1-6

Abstract:

The diffusion equation is discretized in spacial direction and transformed into the ordinary differential equations. The ordinary differential equations are solved by Lie group method and the explicit Runge-Kutta method. Numerical results showed that Lie group method is more stable than the corresponding explicit Runge-Kutta method.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:641918

DOI: 10.1155/2014/641918

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