Numerical approximation of an interface problem for fractional in time diffusion equation

DOI10.1016/j.amc.2013.12.060zbMath1364.65161OpenAlexW1977780101MaRDI QIDQ530072

Aleksandra Delić, Boško S. Jovanović

Publication date: 9 June 2017

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.060

zbMATH Keywords

initial-boundary value problemerror boundfinite differencesinterface problemfractional in time diffusion equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

Related Items (10)

Stability and convergence of difference schemes for boundary value problems for the fractional-order diffusion equation ⋮ A new difference scheme for the time fractional diffusion equation ⋮ Unnamed Item ⋮ $L2-1_\sigma$ Finite Element Method for Time-Fractional Diffusion Problems with Discontinuous Coefficients ⋮ Finite difference approximation of a generalized time-fractional telegraph equation ⋮ Numerical Approximation of a Class of Time-Fractional Differential Equations ⋮ A fourth-order extrapolated compact difference method for time-fractional convection-reaction-diffusion equations with spatially variable coefficients ⋮ Finite difference approximation of fractional wave equation with concentrated capacity ⋮ Additive difference scheme for two-dimensional fractional in time diffusion equation ⋮ ADI Schemes for 2D Subdiffusion Equation

Cites Work

• Convergence of finite difference method for the parabolic problem with concentrated capacity and variable operator
• Fractals and fractional calculus in continuum mechanics
• Boundary value problems for the diffusion equation of the variable order in differential and difference settings
• Finite difference/spectral approximations for the time-fractional diffusion equation
• A fully discrete difference scheme for a diffusion-wave system
• A Space-Time Spectral Method for the Time Fractional Diffusion Equation
• Variational formulation for the stationary fractional advection dispersion equation
• On Fractional Integration by Parts
• On the convergence of finite difference schemes for the heat equation with concentrated capacity
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