Numerical methods for solving a two-dimensional variable-order modified diffusion equation

DOI10.1016/j.amc.2013.08.064zbMath1334.65129OpenAlexW1989124327MaRDI QIDQ275684

Chang-Ming Chen

Publication date: 26 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.08.064

zbMATH Keywords

stabilityconvergenceFourier analysissolvabilitytwo-dimensional variable-order modified diffusion equationvariable-order Riemann-Liouville fractional partial derivative

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (10)

ANALYSIS AND IMPLEMENTATION OF NUMERICAL SCHEME FOR THE VARIABLE-ORDER FRACTIONAL MODIFIED SUB-DIFFUSION EQUATION ⋮ First passage time distribution of a modified fractional diffusion equation in the semi-infinite interval ⋮ Numerical scheme with high order accuracy for solving a modified fractional diffusion equation ⋮ Numerical method to modify the fractional-order diffusion equation ⋮ Numerical simulation with the second order compact approximation of first order derivative for the modified fractional diffusion equation ⋮ Approximation methods for solving fractional equations ⋮ A space-time spectral collocation method for the two-dimensional variable-order fractional percolation equations ⋮ Efficient spectral collocation algorithm for a two-sided space fractional Boussinesq equation with non-local conditions ⋮ Unnamed Item ⋮ SPACE-TIME SPECTRAL COLLOCATION ALGORITHM FOR THE VARIABLE-ORDER GALILEI INVARIANT ADVECTION DIFFUSION EQUATIONS WITH A NONLINEAR SOURCE TERM

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