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Numerical Method for The Time Fractional Fokker-Planck Equation

Published online by Cambridge University Press:  03 June 2015

Xue-Nian Cao ,
Jiang-Li Fu  and
Hu Huang
Xue-Nian Cao*
Affiliation:
School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Hunan 411105, China
Jiang-Li Fu*
Affiliation:
School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Hunan 411105, China
Hu Huang*
Affiliation:
School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Hunan 411105, China
*
Corresponding author. Email: cxn@xtu.edu.cn
Email: fujiangli11@126.com
Email: huanghu1227@163.com
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Abstract

In this paper, a new numerical algorithm for solving the time fractional Fokker-Planck equation is proposed. The analysis of local truncation error and the stability of this method are investigated. Theoretical analysis and numerical experiments show that the proposed method has higher order of accuracy for solving the time fractional Fokker-Planck equation.

Keywords

34A0826A3365L1265L20Fractional Fokker-Planck equationRiemann-Liouville fractional derivativetruncation errorstability
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 6 , December 2012 , pp. 848 - 863
Copyright
Copyright © Global-Science Press 2012

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