Unconditional convergence analysis of two linearized Galerkin FEMs for the nonlinear time-fractional diffusion-wave equation
DOI10.1016/j.rinam.2023.100389MaRDI QIDQ6084990
Jun-Gang Wang, Zhen Guan, Ying Liu, Yu-Feng Nie
Publication date: 2 December 2023
Published in: Results in Applied Mathematics (Search for Journal in Brave)
unconditionally optimal error estimateslinearized Galerkin FEMsH2N2 formulanonlinear time-fractional diffusion-wave equationSobolev's embedding inequality
Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation
- Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation
- Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: meshless interpolating element free Galerkin (IEFG) and finite element methods
- An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation
- Analysis of a new finite difference/local discontinuous Galerkin method for the fractional diffusion-wave equation
- Unconditionally optimal error estimates of two linearized Galerkin FEMs for the two-dimensional nonlinear fractional Rayleigh-Stokes problem
- A linearized high-order Galerkin finite element approach for two-dimensional nonlinear time fractional Klein-Gordon equations
- Unconditionally optimal convergence of a linearized Galerkin FEM for the nonlinear time-fractional mobile/immobile transport equation
- Fast L2-1\(_\sigma\) Galerkin FEMs for generalized nonlinear coupled Schrödinger equations with Caputo derivatives
- 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
- Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics
- A fast element-free Galerkin method for the fractional diffusion-wave equation
- Unconditionally convergent numerical method for the two-dimensional nonlinear time fractional diffusion-wave equation
- A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation
- Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction
- Superconvergence of finite element approximations for the fractional diffusion-wave equation
- The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: numerical analysis
- A fully discrete difference scheme for a diffusion-wave system
- Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
- New development in freefem++
- The Galerkin spectral element method for the solution of two‐dimensional multiterm time fractional diffusion‐wave equation
- Superconvergence analysis of FEM for 2D multi-term time fractional diffusion-wave equations with variable coefficient
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Galerkin Finite Element Methods for Parabolic Problems
- Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations
- Improved efficient difference method for the modified anomalous sub-diffusion equation with a nonlinear source term
This page was built for publication: Unconditional convergence analysis of two linearized Galerkin FEMs for the nonlinear time-fractional diffusion-wave equation
