Numerical algorithms for multidimensional time-fractional wave equation of distributed-order with a nonlinear source term
DOI10.1186/s13662-018-1817-2zbMath1448.65130OpenAlexW2605802486MaRDI QIDQ1716058
Jiahui Hu, Yu-Feng Nie, Jun-Gang Wang
Publication date: 29 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1817-2
stabilityconvergencenonlinear source termADI finite difference schemetime-fractional wave equation of distributed-order
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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical solution of distributed order fractional differential equations
- Numerical approximation of distributed order reaction-diffusion equations
- An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate
- Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition
- On the solutions of time-fractional reaction-diffusion equations
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
- An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
- Numerical analysis for distributed-order differential equations
- A Legendre collocation method for distributed-order fractional optimal control problems
- Numerical simulation of multi-dimensional distributed-order generalized Schrödinger equations
- An analytic study of Fisher's equation by using Adomian decomposition method
- A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations
- Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations
- On the formulation and numerical simulation of distributed-order fractional optimal control problems
- Two alternating direction implicit difference schemes for solving the two-dimensional time distributed-order wave equations
- Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations
- Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density
- Some high-order difference schemes for the distributed-order differential equations
- Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
- Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations
- Distributed order calculus and equations of ultraslow diffusion
- Two unconditionally stable and convergent difference schemes with the extrapolation method for the one-dimensional distributed-order differential equations
- Matrix approach to discrete fractional calculus III: non-equidistant grids, variable step length and distributed orders
- Distributed-Order Dynamic Systems
- Time distributed-order diffusion-wave equation. I. Volterra-type equation
- The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium
This page was built for publication: Numerical algorithms for multidimensional time-fractional wave equation of distributed-order with a nonlinear source term
