A dimensional-splitting weak Galerkin finite element method for 2D time-fractional diffusion equation
DOI10.1007/s10915-023-02448-3OpenAlexW4391436041WikidataQ128905439 ScholiaQ128905439MaRDI QIDQ6191357
Srinivasan Natesan, Şuayip Toprakseven, Aniruddha Seal
Publication date: 9 February 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-023-02448-3
stabilitynumerical experimentserror analysisoperator-splitting methodADI methodweak Galerkin finite element methodtime-fractional diffusion
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) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- A new weak Galerkin finite element scheme for general second-order elliptic problems
- Fractals and fractional calculus in continuum mechanics
- A weak Galerkin finite element method for second-order elliptic problems
- A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients
- A novel two-step streamline-diffusion FEM for singularly perturbed 2D parabolic PDEs
- A weak Galerkin finite element method on temporal graded meshes for the multi-term time fractional diffusion equations
- Stabilizer-free weak Galerkin finite element method with second-order accuracy in time for the time fractional diffusion equation
- A weak Galerkin finite element method for solving time-fractional coupled Burgers' equations in two dimensions
- A uniformly convergent weak Galerkin finite element method on Shishkin mesh for 1d convection-diffusion problem
- An alternating direction implicit Galerkin finite element method for the distributed-order time-fractional mobile-immobile equation in two dimensions
- Nonlocal elasticity: an approach based on fractional calculus
- A time-fractional diffusion equation with generalized memory kernel in differential and difference settings with smooth solutions
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions
- A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction Problems
- A two-grid ADI finite element approximation for a nonlinear distributed-order fractional sub-diffusion equation
This page was built for publication: A dimensional-splitting weak Galerkin finite element method for 2D time-fractional diffusion equation
