Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions-Reference-Cited by-同舟云学术

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Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions

Published:2016-01 Issue:5 Volume:38 Page:A3070-A3093
ISSN:1064-8275
Container-title:SIAM Journal on Scientific Computing
language:en
Short-container-title:SIAM J. Sci. Comput.

Author:

Cao Wanrong,Zeng Fanhai,Zhang Zhongqiang,Karniadakis George Em

Funder

start-up from WPI

Army Research Office

Division of Mathematical Sciences

National Natural Science Foundation of China

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Link

http://epubs.siam.org/doi/pdf/10.1137/16M1070323

Reference51 articles.

1. Time-Splitting Schemes for Fractional Differential Equations I: Smooth Solutions

2. A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels

3. A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients

4. Convolution quadrature time discretization of fractional diffusion-wave equations

5. A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces

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