Matrix method for numerical solution of space-time fractional diffusion-wave equations with three space variables

DOI10.1007/s13370-012-0101-yzbMath1304.65187OpenAlexW1978860736MaRDI QIDQ467958

Pratibha Manohar, Mridula Garg

Publication date: 5 November 2014

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-012-0101-y

zbMATH Keywords

discretizationnumerical examplesfractional diffusion-wave equationRiemann-Liouville fractional derivativeCaputo fractional-order derivativeKronecker matrix productMATLAB routinesmatrix approachsymmetric-Riesz fractional derivative

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)

Related Items (12)

Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation ⋮ A high-order numerical algorithm for two-dimensional time-space tempered fractional diffusion-wave equation ⋮ Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation ⋮ Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation ⋮ Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis ⋮ Energy estimates for two-dimensional space-Riesz fractional wave equation ⋮ A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation ⋮ An operational matrix method for solving variable-order fractional biharmonic equation ⋮ A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation ⋮ An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique ⋮ Numerical Solution of Space-Time-Fractional Reaction-Diffusion Equations via the Caputo and Riesz Derivatives ⋮ A unified difference-spectral method for time–space fractional diffusion equations

Uses Software

• Matlab
• ma2dfc

Cites Work

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