Numerical scheme with high order accuracy for solving a modified fractional diffusion equation

DOI10.1016/j.amc.2014.07.044zbMath1336.65131OpenAlexW2011648757MaRDI QIDQ278437

Yunkun Chen, Chang-Ming Chen

Publication date: 2 May 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.044

zbMATH Keywords

stabilityconvergenceFourier analysissolvabilitymodified fractional diffusion equationnumerical scheme with second order temporal accuracy and fourth order spatial accuracy

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)

Related Items (2)

Numerical simulation with the second order compact approximation of first order derivative for the modified fractional diffusion equation ⋮ The implicit midpoint method for the modified anomalous sub-diffusion equation with a nonlinear source term

Cites Work

• Numerical methods for solving a two-dimensional variable-order modified diffusion equation
• A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term
• Finite element approximation for a modified anomalous subdiffusion equation
• Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
• A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term
• Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation
• From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
• Unnamed Item

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