Efficient numerical algorithms of time fractional telegraph‐type equations involving Hadamard derivatives
DOI10.1002/mma.8263zbMath1527.65069OpenAlexW4220715402MaRDI QIDQ6087614
Zhibo Wang, Dakang Cen, Caixia Ou
Publication date: 12 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8263
convergencefinite difference methoditerative methodHadamard fractional calculusfractional telegraph 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation
- Finite difference approximations for the fractional Fokker-Planck equation
- Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations
- Numerical solution of the two-sided space-time fractional telegraph equation via Chebyshev tau approximation
- Approximate solution of nonlinear differential equations with convolution product nonlinearities
- Quasi-compact finite difference schemes for space fractional diffusion equations
- Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative
- Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations
- Time two-grid technique combined with temporal second order difference method for two-dimensional semilinear fractional sub-diffusion equations
- An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions
- A new analytical technique of the \(L\)-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations
- Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations
- Finite difference methods for Caputo-Hadamard fractional differential equations
- Second order difference schemes for time-fractional KdV-Burgers' equation with initial singularity
- Mathematical analysis and the local discontinuous Galerkin method for Caputo-Hadamard fractional partial differential equation
- Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels
- An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation
- A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- Analytical solution of space-time fractional telegraph-type equations involving Hilfer and Hadamard derivatives
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
- Time Discretization of an Integro-Differential Equation of Parabolic Type
- Numerical Analysis of Nonlinear Subdiffusion Equations
- A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Fast high order difference schemes for the time fractional telegraph equation
- On Caputo–Hadamard fractional differential equations
- Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation
This page was built for publication: Efficient numerical algorithms of time fractional telegraph‐type equations involving Hadamard derivatives