A numerical method for the variable-order time-fractional wave equations based on the H2N2 approximation

DOI10.1155/2022/3438289OpenAlexW4206475248MaRDI QIDQ2071879

Yuanfeng Jin, Yu Bo, Xiao Liu

Publication date: 31 January 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/3438289

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Numerical analysis (65-XX)

Related Items (2)

Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein-Gordon and sine-Gordon problems ⋮ Single-term and multi-term nonuniform time-stepping approximation methods for two-dimensional time-fractional diffusion-wave equation

Cites Work

• Second-order approximations for variable order fractional derivatives: algorithms and applications
• Finite difference approximations for the fractional Fokker-Planck equation
• A new analytical technique of the \(L\)-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations
• An H2N2 interpolation for Caputo derivative with order in \((1,2)\) and its application to time-fractional wave equations in more than one space dimension
• Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations
• A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations
• The development of higher-order numerical differential formulas of Caputo derivative and their applications (I)

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