The implicit midpoint method for the modified anomalous sub-diffusion equation with a nonlinear source term

DOI10.1016/j.cam.2016.10.014zbMath1357.65149OpenAlexW2546809850MaRDI QIDQ507876

Xianxian Cao, Liping Wen, Xuenian Cao

Publication date: 9 February 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.10.014

zbMATH Keywords

stabilityconvergencesemidiscretizationnumerical experimentimplicit midpoint methodcompact difference operatorfactional time derivativemodified anomalous sub-diffusion equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Fractional partial differential equations (35R11)

Related Items

ANALYSIS AND IMPLEMENTATION OF NUMERICAL SCHEME FOR THE VARIABLE-ORDER FRACTIONAL MODIFIED SUB-DIFFUSION EQUATION, Numerical simulation of a modified anomalous diffusion process with nonlinear source term by a local weak form meshless method, A semi-analytical approach to Caputo type time-fractional modified anomalous sub-diffusion equations, Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation, Optimal control problem of the two-dimensional modified anomalous subdiffusion equation with discontinuous Galerkin approximation, Modified implicit fractional difference scheme for 2D modified anomalous fractional sub-diffusion equation, Numerical algorithm to Caputo type time-space fractional partial differential equations with variable coefficients, Several effective algorithms for nonlinear time fractional models, Numerical investigation of the nonlinear modified anomalous diffusion process, Numerical solution for multi-dimensional Riesz fractional nonlinear reaction-diffusion equation by exponential Runge-Kutta method, A fourth-order compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equation

Uses Software

• sysdfod
• DFOC

Cites Work

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