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A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations

  • Published:2021-02 Issue: Volume:160 Page:331-348
  • ISSN:0168-9274
  • Container-title:Applied Numerical Mathematics
  • language:en
  • Short-container-title:Applied Numerical Mathematics

Author:

Liu Jun,Zhu Chen,Chen Yanping,Fu Hongfei

Funder

State Key Program of National Natural Science Foundation of China

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference49 articles.

1. The fractional-order governing equation of Lévy motion;Benson;Water Resour. Res.,2000

2. Fourier spectral methods for fractional-in-space reaction-diffusion equations;Bueno-Orovio;BIT Numer. Math.,2014

3. A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations;Cheng;Appl. Math. Comput.,2019

4. Variational formulation for the stationary fractional advection dispersion equation;Ervin;Numer. Methods Partial Differ. Equ.,2006

5. An ADI Crank-Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation;Fairweather;J. Sci. Comput.,2015
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