A split iterative asymptotic method for the numerical solution of a class of fractional heat transfer equations

Author:

Deng Shuxian1,Ji Wenguang1

Affiliation:

1. Department of Basic Science, Zhengzhou Shengda University, Xinzheng, China

Abstract

In this paper, a new split iterative compact difference scheme for a class of system is constructed. Then, the conservation properties of the scheme are discussed, and the convergence of the split iterative difference scheme is analyzed by using the discrete energy method on the basis of the prior estimation. Finally, numerical experiments verify these properties of the new scheme. In addition, the numerical results also show the influence of fractional derivative on the variation of the transport equation.

Publisher

National Library of Serbia

Reference16 articles.

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2. Podlubny, I., Fractional Differential Equations, Academic Press, New York, USA, 1999

3. Sun, C.-Z., Gao, G.-H., Finite Difference Methods for Fractional Order Differential Equations (in Chinese), Science Press, Beijing, 2016

4. Guo, B.-L., et al. Fractional Order Partial Differential Equations and Their Numerical Solutions (in Chinese), Science and Technology Press, Beijing, 2011

5. Liu, F., et al., Numerical Methods for Fractional Order Partial Differential Equations and Their Applications (in Chinese), Science Press, Beijing, 2015

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