Galerkin finite element method for time-fractional stochastic diffusion equations
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Publication:1993477
DOI10.1007/s40314-018-0609-3zbMath1432.65153OpenAlexW2793460548MaRDI QIDQ1993477
Publication date: 5 November 2018
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-018-0609-3
error estimatesGalerkin finite element methodstochastic diffusion equationstime-fractional derivative
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) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30) Fractional partial differential equations (35R11) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Related Items (6)
Error estimates of finite element methods for fractional stochastic Navier-Stokes equations ⋮ Well-posedness of the stochastic time-fractional diffusion and wave equations and inverse random source problems ⋮ Strong convergence of a fractional exponential integrator scheme for finite element discretization of time-fractional SPDE driven by fractional and standard Brownian motions ⋮ Solitary wave solutions for nonlinear fractional Schrödinger equation in Gaussian nonlocal media ⋮ Development of a computational approach for a space-time fractional moving boundary problem arising from drug release systems ⋮ Identification of a time-dependent control parameter for a stochastic diffusion equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and uniqueness of invariant measures for stochastic reaction-diffusion equations in unbounded domains
- An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations
- An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation
- Strong and weak approximation of semilinear stochastic evolution equations
- Continuous dependence on the coefficients and global existence for stochastic reaction diffusion equations
- Multiscale stochastic reaction-diffusion modeling: application to actin dynamics in filopodia
- A comparison of bimolecular reaction models for stochastic reaction-diffusion systems
- Space-time fractional stochastic partial differential equations
- High-order finite element methods for time-fractional partial differential equations
- Flexible single molecule simulation of reaction-diffusion processes
- Mittag-Leffler functions and their applications
- The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds
- Random attractor for stochastic reaction-diffusion equation with multiplicative noise on unbounded domains
- Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations
- Finite difference/predictor-corrector approximations for the space and time fractional Fokker-Planck equation
- Recent history of fractional calculus
- Galerkin finite element methods for parabolic problems
- Random attractors for quasi-continuous random dynamical systems and applications to stochastic reaction-diffusion equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. II
- Stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term
- Stochastic Burgers' equation with fractional derivative driven by multiplicative noise
- Stochastic Navier-Stokes equations with Caputo derivative driven by fractional noises
- An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid
- A Runge-Kutta type scheme for nonlinear stochastic partial differential equations with multiplicative trace class noise
- Dynamics of a stochastic fractional reaction-diffusion equation
- A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations
- Fractional time stochastic partial differential equations
- Dynamics for a stochastic reaction-diffusion equation with additive noise
- A concise course on stochastic partial differential equations
- Random attractors for stochastic reaction-diffusion equations on unbounded domains
- Well-posedness and dynamics of the stochastic fractional magneto-hydrodynamic equations
- An adaptive algorithm for simulation of stochastic reaction-diffusion processes
- Finite Element Methods for the Stochastic Allen--Cahn Equation with Gradient-type Multiplicative Noise
- Simulation of Stochastic Reaction-Diffusion Processes on Unstructured Meshes
- Fast Monte Carlo Simulation Methods for Biological Reaction-Diffusion Systems in Solution and on Surfaces
- Existence and regularity of mild solutions to fractional stochastic evolution equations
- Error estimates of a semidiscrete finite element method for fractional stochastic diffusion‐wave equations
- Time discretization of an evolution equation via Laplace transforms
- Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
- Efficient Legendre spectral tau algorithm for solving the two-sided space–time Caputo fractional advection–dispersion equation
- Numerical Algorithm for Calculating the Generalized Mittag-Leffler Function
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- Basic Theory of Fractional Differential Equations
- Book Reviews
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