A new numerical approach for solving 1D fractional diffusion-wave equation
From MaRDI portal
Publication:2228056
DOI10.1155/2021/6638597zbMath1466.65056OpenAlexW3120370550MaRDI QIDQ2228056
A. A. Mousa, Mostafa M. A. Khater, Umair Ali, Muhammad Asim Khan, Raghda A. M. Attia
Publication date: 16 February 2021
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/6638597
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 (3)
The analytical analysis of nonlinear fractional-order dynamical models ⋮ OPTICAL SOLITON WAVE SOLUTIONS OF THE FRACTIONAL COMPLEX PARAXIAL WAVE DYNAMICAL MODEL ALONG WITH KERR MEDIA ⋮ Identify the Robin coefficient in an inhomogeneous time-fractional diffusion-wave equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain
- Numerical solutions of a fractional predator-prey system
- Numerical solution of two-sided space-fractional wave equation using finite difference method
- Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation
- Numerical solution of fractional diffusion-wave equation based on fractional multistep method
- A novel finite difference discrete scheme for the time fractional diffusion-wave equation
- A simple accurate method for solving fractional variational and optimal control problems
- Modified implicit fractional difference scheme for 2D modified anomalous fractional sub-diffusion equation
- Analysis of a new finite difference/local discontinuous Galerkin method for the fractional diffusion-wave equation
- A compact finite difference scheme for the fourth-order fractional diffusion-wave system
- Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation
- A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation
- High-order compact scheme for the two-dimensional fractional Rayleigh-Stokes problem for a heated generalized second-grade fluid
- On abundant new solutions of two fractional complex models
- Solutions to fractional neutral delay differential nonlocal systems
- On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions
- A new exploration on existence of fractional neutral integro-differential equations in the concept of Atangana-Baleanu derivative
- A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation
- A reliable technique for fractional modified Boussinesq and approximate long wave equations
- Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations
- Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
- A fully discrete difference scheme for a diffusion-wave system
- Two finite difference schemes for time fractional diffusion-wave equation
- Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation
- On the stability analysis of weighted average finite difference methods for fractional wave equation
- A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force
This page was built for publication: A new numerical approach for solving 1D fractional diffusion-wave equation
