The analytical solution and numerical solution of the fractional diffusion-wave equation with damping
From MaRDI portal
Publication:2250191
DOI10.1016/j.amc.2012.08.014zbMath1290.35306OpenAlexW2087687656MaRDI QIDQ2250191
Publication date: 4 July 2014
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://eprints.qut.edu.au/60021/1/Liu29_AMC_chen_17July2012.pdf
stabilityconvergenceanalytical solutionimplicit difference approximationfractional diffusion-wave equation with damping
Related Items (57)
Two linearized finite difference schemes for time fractional nonlinear diffusion-wave equations with fourth order derivative ⋮ Matrix method based on the second kind Chebyshev polynomials for solving time fractional diffusion-wave equations ⋮ An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations ⋮ Analysis of two Legendre spectral approximations for the variable-coefficient fractional diffusion-wave equation ⋮ An efficient numerical scheme to solve fractional diffusion-wave and fractional Klein-Gordon equations in fluid mechanics ⋮ Numerical approach for solving two dimensional fractal-fractional PDEs using peridynamic method ⋮ Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain ⋮ A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations ⋮ Numerical analysis for viscoelastic fluid flow with distributed/variable order time fractional Maxwell constitutive models ⋮ Numerical solution of the two-sided space-time fractional telegraph equation via Chebyshev tau approximation ⋮ MHD flow, radiation heat and mass transfer of fractional Burgers' fluid in porous medium with chemical reaction ⋮ Anomalous diffusion in comb model subject to a novel distributed order time fractional Cattaneo-Christov flux ⋮ Unsteady oblique stagnation point flow with improved pressure field and fractional Cattaneo-Christov model by finite difference-spectral method ⋮ A compact finite difference method for a class of time fractional convection-diffusion-wave equations with variable coefficients ⋮ A Crank-Nicolson-type compact difference method and its extrapolation for time fractional Cattaneo convection-diffusion equations with smooth solutions ⋮ Novel superconvergence analysis of anisotropic triangular <scp>FEM</scp> for a multi‐term time‐fractional mixed sub‐diffusion and diffusion‐wave equation with variable coefficients ⋮ A novel distributed order time fractional model for heat conduction, anomalous diffusion, and viscoelastic flow problems ⋮ A NOVEL COLLECTIVE ALGORITHM USING CUBIC UNIFORM SPLINE AND FINITE DIFFERENCE APPROACHES TO SOLVING FRACTIONAL DIFFUSION SINGULAR WAVE MODEL THROUGH DAMPING-REACTION FORCES ⋮ Second-order stable finite difference schemes for the time-fractional diffusion-wave equation ⋮ Modified homotopy perturbation approach for the system of fractional partial differential equations: A utility of fractional Wronskian ⋮ Numerical solution of the conformable space-time fractional wave equation ⋮ Solution of nonlinear fractional diffusion-wave equation by triangular functions ⋮ Flow, heat and mass transfer of three-dimensional fractional Maxwell fluid over a bidirectional stretching plate with fractional Fourier's law and fractional Fick's law ⋮ Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains ⋮ An alternating direction Galerkin method for a time-fractional partial differential equation with damping in two space dimensions ⋮ An efficient meshless method based on RBFs for the time fractional diffusion-wave equation ⋮ Analytical and numerical solutions of the unsteady 2D flow of MHD fractional Maxwell fluid induced by variable pressure gradient ⋮ Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes ⋮ Numerical solution of FSPL heat conduction equation for analysis of thermal propagation ⋮ Subordination approach to multi-term time-fractional diffusion-wave equations ⋮ Two-dimensional Bernoulli wavelets with satisfier function in the Ritz-Galerkin method for the time fractional diffusion-wave equation with damping ⋮ Boundary layer flow of fractional Maxwell fluid over a stretching sheet with variable thickness ⋮ A new approach of superconvergence analysis for two-dimensional time fractional diffusion equation ⋮ Unnamed Item ⋮ A computational method for solving variable-order fractional nonlinear diffusion-wave equation ⋮ Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid ⋮ Absorbing boundary conditions for the fractional wave equation ⋮ Numerical simulation of anomalous infiltration in porous media ⋮ Polynomial decay of mild solutions to semilinear fractional differential equations with nonlocal initial conditions ⋮ Numerical vibration displacement solutions of fractional drawing self-excited vibration model based on fractional Legendre functions ⋮ A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations ⋮ Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with damping ⋮ A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation ⋮ Numerical study of time-fractional hyperbolic partial differential equations ⋮ Wavelets method for the time fractional diffusion-wave equation ⋮ A new semi-analytical collocation method for solving multi-term fractional partial differential equations with time variable coefficients ⋮ Numerical solution of time-fractional diffusion-wave equations via Chebyshev wavelets collocation method ⋮ Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation ⋮ A difference scheme with intrinsic parallelism for fractional diffusion-wave equation with damping ⋮ A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions ⋮ Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations ⋮ An efficient hybrid numerical scheme for nonlinear multiterm Caputo time and Riesz space fractional-order diffusion equations with delay ⋮ Two finite difference methods based on an H2N2 interpolation for two-dimensional time fractional mixed diffusion and diffusion-wave equations ⋮ Subordination in a class of generalized time-fractional diffusion-wave equations ⋮ Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid ⋮ Unsteady oblique stagnation-point flow and heat transfer of fractional Maxwell fluid with convective derivative under modified pressure field ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
- A second-order accurate numerical method for a fractional wave equation
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Signaling problem for time-fractional diffusion-wave equation in a half-space in the case of angular symmetry
- An operational method for solving fractional differential equations with the Caputo derivatives
- Harmonic analysis of random fractional diffusion-wave equations.
- Time-fractional telegraph equations and telegraph processes with Brownian time
- Numerical solution of the space fractional Fokker-Planck equation.
- Wright functions as scale-invariant solutions of the diffusion-wave equation
- The space-fractional telegraph equation and the related fractional telegraph process
- Time fractional diffusion: A discrete random walk approach
- Analytical solution for the time-fractional telegraph equation by the method of separating variables
- Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation
- Numerical simulation for the 3D seepage flow with fractional derivatives in porous media
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
- The fundamental solution of the space-time fractional diffusion equation
- Response of a diffusion‐wave system subjected to deterministic and stochastic fields
- THE FUNDAMENTAL AND NUMERICAL SOLUTIONS OF THE RIESZ SPACE-FRACTIONAL REACTION–DISPERSION EQUATION
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: The analytical solution and numerical solution of the fractional diffusion-wave equation with damping