Numerical solution of non-linear fourth order fractional sub-diffusion wave equation with time delay
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Publication:2287607
DOI10.1016/j.amc.2019.124900zbMath1433.65163OpenAlexW2991612979WikidataQ126779918 ScholiaQ126779918MaRDI QIDQ2287607
Sarita Nandal, Dwijendra Narain Pandey
Publication date: 21 January 2020
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2019.124900
stabilityconvergencecompact difference scheme\(L 2 - 1_\sigma\) formulafourth order fractional sub-diffusion equation
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)
Related Items (8)
Efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation ⋮ Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong? ⋮ A stable second-order difference scheme for the generalized time-fractional non-Fickian delay reaction-diffusion equations ⋮ Stability and Convergence of L1-Galerkin Spectral Methods for the Nonlinear Time Fractional Cable Equation ⋮ Numerical treatment of non-linear fourth-order distributed fractional sub-diffusion equation with time-delay ⋮ Numerical simulation for time-fractional diffusion-wave equations with time delay ⋮ Chebyshev polynomials of sixth kind for solving nonlinear fractional PDEs with proportional delay and its convergence analysis ⋮ Compact difference scheme for time-fractional nonlinear fourth-order diffusion equation with time delay
Cites Work
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- A second-order difference scheme for the time fractional substantial diffusion equation
- Numerical solution of distributed order fractional differential equations
- Finite difference methods for the time fractional diffusion equation on non-uniform meshes
- A new difference scheme for the time fractional diffusion equation
- Distributed order equations as boundary value problems
- A computational matrix method for solving systems of high order fractional differential equations
- Numerical approximation of distributed order reaction-diffusion equations
- On a class of non-linear delay distributed order fractional diffusion equations
- A compact finite difference scheme for the fractional sub-diffusion equations
- A compact difference scheme combined with extrapolation techniques for solving a class of neutral delay parabolic differential equations
- Compact finite difference method for the fractional diffusion equation
- A compact difference scheme for solving fractional neutral parabolic differential equation with proportional delay
- A second-order compact difference scheme for the fourth-order fractional sub-diffusion equation
- A compact difference scheme for a class of variable coefficient quasilinear parabolic equations with delay
- A compact ADI method and its extrapolation for time fractional sub-diffusion equations with nonhomogeneous Neumann boundary conditions
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations
- Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions
- A note on compact finite difference method for reaction-diffusion equations with delay
- Some high-order difference schemes for the distributed-order differential equations
- Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
- A new implicit compact difference scheme for the fourth-order fractional diffusion-wave system
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- Time-fractional Diffusion of Distributed Order
- Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- A novel variable‐order fractional nonlinear Klein Gordon model: A numerical approach
- Analysis of the compact difference scheme for the semilinear fractional partial differential equation with time delay
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