Finite element algorithm with a second‐order shifted composite numerical integral formula for a nonlinear time fractional wave equation

Numerical methods for integral equations (65R20) Wave equation (35L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

Unnamed Item
Unnamed Item
Analysis of a meshless method for the time fractional diffusion-wave equation
Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation
An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate
Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis
Second-order stable finite difference schemes for the time-fractional diffusion-wave equation
The fundamental solutions for the fractional diffusion-wave equation
A high-order numerical algorithm for two-dimensional time-space tempered fractional diffusion-wave equation
A time-spectral algorithm for fractional wave problems
A linearized second-order scheme for nonlinear time fractional Klein-Gordon type equations
A Crank-Nicolson-type finite-difference scheme and its algorithm implementation for a nonlinear partial integro-differential equation arising from viscoelasticity
Crank-Nicolson WSGI difference scheme with finite element method for multi-dimensional time-fractional wave problem
A dissipation-preserving finite element method for nonlinear fractional wave equations on irregular convex domains
Compact difference scheme for a class of fractional-in-space nonlinear damped wave equations in two space dimensions
Analysis of the L1 scheme for fractional wave equations with nonsmooth data
A linearized high-order Galerkin finite element approach for two-dimensional nonlinear time fractional Klein-Gordon equations
A class of efficient time-stepping methods for multi-term time-fractional reaction-diffusion-wave equations
Fast structure-preserving difference algorithm for 2D nonlinear space-fractional wave models
ADI Galerkin finite element scheme for the two-dimensional semilinear partial intergro-differential equation with a weakly singular kernel
Local discontinuous Galerkin method based on a family of second-order time approximation schemes for fractional mobile/immobile convection-diffusion equations
Efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation
An H2N2 interpolation for Caputo derivative with order in \((1,2)\) and its application to time-fractional wave equations in more than one space dimension
Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains
Fourth-order compact difference schemes for the two-dimensional nonlinear fractional mobile/immobile transport models
Unconditionally convergent numerical method for the two-dimensional nonlinear time fractional diffusion-wave equation
Wellposedness and regularity of a nonlinear variable-order fractional wave equation
A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations
An explicit form for higher order approximations of fractional derivatives
Two-grid economical algorithms for parabolic integro-differential equations with nonlinear memory
Numerical methods for solving the multi-term time-fractional wave-diffusion equation
Superconvergence of finite element approximations for the fractional diffusion-wave equation
Two finite difference schemes for time fractional diffusion-wave equation
A non-autonomous damped wave equation with a nonlinear memory term
Some temporal second order difference schemes for fractional wave equations
A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations
Fractional wave equation and damped waves