Time second-order finite difference/finite element algorithm for nonlinear time-fractional diffusion problem with fourth-order derivative term-Reference-Cited by-同舟云学术

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Time second-order finite difference/finite element algorithm for nonlinear time-fractional diffusion problem with fourth-order derivative term

Published:2018-05 Issue:10 Volume:75 Page:3521-3536
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Liu Nan,Liu Yang,Li Hong,Wang Jinfeng

Funder

National Natural Science Foundation of China

Natural Science Foundation of Inner Mongolia

Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region

Scientific research innovation project of postgraduate of Inner Mongolia

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference37 articles.

1. Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion;Li;Comput. Math. Appl.,2011

2. A finite difference method with non-uniform timesteps for fractional diffusion and diffusion-wave equations;Quintana-Murillo;Eur. Phys. J. Spec. Top.,2013

3. Local radial basis function interpolation method to simulate 2D fractional-time convection–diffusion-reaction equations with error analysis;Shivanian;Numer. Methods Partial Differential Equations,2017

4. Nonlinear fractional integro-differential reaction–diffusion equation via radial basis functions;Aslefallah;Eur. Phys. J. Plus,2015

5. A characteristic difference method for the variable-order fractional advection-diffusion equation;Shen;J. Appl. Math. Comput.,2013

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