A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation-Reference-Cited by-同舟云学术

A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation

Published:2020-12 Issue: Volume:158 Page:271-291
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Abbaszadeh Mostafa^ORCID,Dehghan Mehdi

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference106 articles.

1. Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation;Abbaszadeh;Appl. Math. Lett.,2019

2. Numerical and analytical investigations for neutral delay fractional damped diffusion-wave equation based on the stabilized interpolating element free Galerkin (IEFG) method;Abbaszadeh;Appl. Numer. Math.,2019

3. A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives;Abbaszadeh;Eng. Comput.,2020

4. Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation;Abbaszadeh;J. Comput. Appl. Math.,2020

5. A new difference scheme for the time fractional diffusion equation;Alikhanov;J. Comput. Phys.,2015

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