Finite difference methods with non-uniform meshes for nonlinear fractional differential equations

Author:

Li Changpin,Yi Qian,Chen An

Funder

National Natural Science Foundation of China

Shanghai Municipal Education Commission

First-class Discipline of Universities in Shanghai

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference42 articles.

1. Anomalous diffusion in disordered media: statistical mechanisms, models and physical applications;Bouchaud;Phys. Rep.,1990

2. The Numerical Solution of Volterra Equations;Brunner,1986

3. High-order approximation to Caputo derivatives and Caputo-type advection–diffusion equations (II);Cao;Fract. Calc. Appl. Anal.,2015

4. Smoothness and stability of the solutions for nonlinear fractional differential equations;Deng;Nonlinear Anal.,2010

5. An algorithm for the numerical solution of differential equations of fractional order;Diethelm;Electron. Trans. Numer. Anal.,1997

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