Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model
Copyright policy )Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model
The authors develop a finite element method for a time-fractional PDE of subdiffusion type that involves a distributed order time derivative. The method is shown to be fast. The error analysis, however, requires a high degree of smoothness that is usually hard to achieve in practice.
- Inner Mongolia University China (People's Republic of)
- Inner Mongolia University of Finance and Economics China (People's Republic of)
Error bounds for initial value and initial-boundary value problems involving PDEs, time two-mesh algorithm, Crank-Nicolson formula, a priori error analysis, Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs, nonlinear distributed-order sub-diffusion model, \(H^1\)-Galerkin mixed finite element method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, stability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Fractional partial differential equations
Error bounds for initial value and initial-boundary value problems involving PDEs, time two-mesh algorithm, Crank-Nicolson formula, a priori error analysis, Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs, nonlinear distributed-order sub-diffusion model, \(H^1\)-Galerkin mixed finite element method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, stability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Fractional partial differential equations
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