Analysis and numerical simulation for a class of time fractional diffusion equation via tension spline
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Publication:1785541
DOI10.1007/s11075-017-0447-1zbMath1403.65041OpenAlexW2769164724MaRDI QIDQ1785541
A. S. V. Ravi Kanth, Deepika Sirswal
Publication date: 1 October 2018
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-017-0447-1
Numerical computation using splines (65D07) Fractional derivatives and integrals (26A33) 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)
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Cites Work
- Unnamed Item
- Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations
- Fractional variational iteration method and its application
- A parallel Crank-Nicolson finite difference method for time-fractional parabolic equation
- Galerkin finite element method for nonlinear fractional Schrödinger equations
- Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- Green's function of time fractional diffusion equation and its applications in fractional quantum mechanics
- Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A second-order compact difference scheme for the fourth-order fractional sub-diffusion equation
- Stability and convergence of a fully discrete local discontinuous Galerkin method for multi-term time fractional diffusion equations
- Numerical solution of fractional advection-diffusion equation with a nonlinear source term
- A new difference scheme for time fractional heat equations based on the Crank-Nicholson method
- A Fourier method for the fractional diffusion equation describing sub-diffusion
- Compact Crank–Nicolson and Du Fort–Frankel Method for the Solution of the Time Fractional Diffusion Equation
- Fractional Partial Differential Equations and Their Numerical Solutions
