Simulation of the approximate solutions of the time-fractional multi-term wave equations

DOI10.1016/J.CAMWA.2016.06.019zbMath1409.35207OpenAlexW2506897092MaRDI QIDQ666779

Ahmed M. A. El-Sayed, A. S. Hashem, Entsar A. Abdel-Rehim

Publication date: 12 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.06.019

zbMATH Keywords

stabilitystationary solutionexplicit schemetime fractionalapproximation solutiondiffusion wave equation

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

Related Items (7)

A new analytical technique of the \(L\)-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations ⋮ Numerical solution of the conformable space-time fractional wave equation ⋮ A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation ⋮ A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations ⋮ The temporal second order difference schemes based on the interpolation approximation for the time multi-term fractional wave equation ⋮ Stochastic representation and Monte Carlo simulation for multiterm time-fractional diffusion equation ⋮ Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes

Uses Software

• Mathematica

Cites Work

• Conservative difference schemes for diffusion problems with boundary and interface conditions
• Time fractional diffusion: A discrete random walk approach
• Fractional telegraph equations.
• Asymptotic behavior of fractional order semilinear evolution equations.
• Numerical method for solving diffusion-wave phenomena
• Survey of the stability of linear finite difference equations
• Multi-dimensional fractional wave equation and some properties of its fundamental solution
• Solutions of two-term time fractional order differential equations with nonlocal initial conditions
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