Compact Crank–Nicolson and Du Fort–Frankel Method for the Solution of the Time Fractional Diffusion Equation

DOI10.1142/S0219876215500413zbMath1359.65144MaRDI QIDQ2972058

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Publication date: 7 April 2017

Published in: International Journal of Computational Methods (Search for Journal in Brave)

zbMATH Keywords

compact finite difference methodtime fractional diffusionGrünwald-Letnikov method

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) Fractional partial differential equations (35R11)

Related Items (8)

Numerical approach for a class of distributed order time fractional partial differential equations ⋮ A class of explicit implicit alternating difference schemes for generalized time fractional Fisher equation ⋮ Energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon equation and coupled sine-Gordon equations ⋮ A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations ⋮ Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation ⋮ Analysis and numerical simulation for a class of time fractional diffusion equation via tension spline ⋮ High-order structure-preserving Du Fort-Frankel schemes and their analyses for the nonlinear Schrödinger equation with wave operator ⋮ A class of weighted energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon-type equations

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