Error analysis of fast L1 ADI finite difference/compact difference schemes for the fractional telegraph equation in three dimensions
From MaRDI portal
Publication:2104337
DOI10.1016/j.matcom.2022.10.001OpenAlexW4303648179MaRDI QIDQ2104337
Leijie Qiao, Da Xu, Wenlin Qiu
Publication date: 7 December 2022
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2022.10.001
convergence analysisnumerical examplesADI difference/compact difference methodsfast L1 algorithmthree-dimensional fractional telegraph equation
Related Items (4)
An alternating direction implicit compact finite difference scheme for the multi-term time-fractional mixed diffusion and diffusion-wave equation ⋮ Compact schemes in time with applications to partial differential equations ⋮ High-order orthogonal spline collocation ADI scheme for a new complex two-dimensional distributed-order fractional integro-differential equation with two weakly singular kernels ⋮ Error estimate of L1-ADI scheme for two-dimensional multi-term time fractional diffusion equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fast alternating-direction finite difference methods for three-dimensional space-fractional diffusion equations
- An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation
- High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation
- A compact locally one-dimensional method for fractional diffusion-wave equations
- An approximate analytical solution of time-fractional telegraph equation
- A compact finite difference scheme for the fractional sub-diffusion equations
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- Time-fractional telegraph equations and telegraph processes with Brownian time
- Numerical simulation for the three-dimension fractional sub-diffusion equation
- Generalized finite difference/spectral Galerkin approximations for the time-fractional telegraph equation
- Optimal \(L^\infty (L^2)\) error analysis of a direct discontinuous Galerkin method for a time-fractional reaction-diffusion problem
- Fractional telegraph equations.
- An implicit difference scheme and algorithm implementation for the one-dimensional time-fractional Burgers equations
- Fully discrete local discontinuous Galerkin method for solving the fractional telegraph equation
- Fractional difference/finite element approximations for the time-space fractional telegraph equation
- Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport
- Efficient second-order ADI difference schemes for three-dimensional Riesz space-fractional diffusion equations
- Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations
- The formally second-order BDF ADI difference/compact difference scheme for the nonlocal evolution problem in three-dimensional space
- Second-order BDF ADI Galerkin finite element method for the evolutionary equation with a nonlocal term in three-dimensional space
- Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernel
- An alternating direction implicit Galerkin finite element method for the distributed-order time-fractional mobile-immobile equation in two dimensions
- The Crank-Nicolson-type sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel
- Efficient spatial second-/fourth-order finite difference ADI methods for multi-dimensional variable-order time-fractional diffusion equations
- A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem
- Numerical solution of two and three dimensional time fractional damped nonlinear Klein-Gordon equation using ADI spectral element method
- A new treatment based on hybrid functions to the solution of telegraph equations of fractional order
- Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line
- Fundamental solution of the multi-dimensional time fractional telegraph equation
- Numerical analysis of a two-parameter fractional telegraph equation
- Analytical solution for the time-fractional telegraph equation by the method of separating variables
- A fully discrete difference scheme for a diffusion-wave system
- Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation
- Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
- Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
- A backward Euler alternating direction implicit difference scheme for the three‐dimensional fractional evolution equation
- Fast high order difference schemes for the time fractional telegraph equation
- Fractional Differential Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme
- Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation
This page was built for publication: Error analysis of fast L1 ADI finite difference/compact difference schemes for the fractional telegraph equation in three dimensions
