Mixed finite element method for the nonlinear time-fractional stochastic fourth-order reaction-diffusion equation
DOI10.1016/j.camwa.2020.12.004OpenAlexW3120501526MaRDI QIDQ2226806
Publication date: 9 February 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.12.004
regularityerror estimatesmixed finite elementgeneralized BDF \(2-\theta\)nonlinear time-fractional stochastic fourth-order reaction-diffusion equation
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) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Fractional partial differential equations (35R11)
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Cites Work
- Intermittence and space-time fractional stochastic partial differential equations
- A mixed finite element method for a time-fractional fourth-order partial differential equation
- Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation
- A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
- Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence
- High-order finite element methods for time-fractional partial differential equations
- Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation
- A second-order compact difference scheme for the fourth-order fractional sub-diffusion equation
- Some second-order \(\theta\) schemes combined with finite element method for nonlinear fractional cable equation
- A robust kernel-based solver for variable-order time fractional PDEs under 2D/3D irregular domains
- Finite element solutions for the space fractional diffusion equation with a nonlinear source term
- Existence of solutions for nonlinear fractional stochastic differential equations
- Time second-order finite difference/finite element algorithm for nonlinear time-fractional diffusion problem with fourth-order derivative term
- Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem
- A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative
- A modified multilevel algorithm for large-scale scientific and engineering computing
- Fractional time stochastic partial differential equations
- A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations
- A linear finite difference scheme for generalized time fractional Burgers equation
- Asymptotic properties of some space-time fractional stochastic equations
- A time-space spectral method for the time-space fractional Fokker-Planck equation and its inverse problem
- Superconvergence analysis of finite element method for time-fractional thermistor problem
- Crank-Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel
- Fast Iterative Solvers for Linear Systems Arising from Time-Dependent Space-Fractional Diffusion Equations
- Quasi-wavelet based numerical method for fourth-order partial integro-differential equations with a weakly singular kernel
- Space-time fractional diffusions in Gaussian noisy environment
- Developing Finite Element Methods for Maxwell's Equations in a Cole–Cole Dispersive Medium
- Error Estimates of Finite Element Methods for Stochastic Fractional Differential Equations
- STOCHASTIC CAHN–HILLIARD EQUATION WITH FRACTIONAL NOISE
- Numerical approximation of stochastic time-fractional diffusion
- Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
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