Tailored finite point method for time fractional convection dominated diffusion problems with boundary layers

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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Cites Work

Unnamed Item
Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations
Compact exponential scheme for the time fractional convection-diffusion reaction equation with variable coefficients
A second order finite difference-spectral method for space fractional diffusion equations
Uniform convergent tailored finite point method for advection-diffusion equation with discontinuous, anisotropic and vanishing diffusivity
A tailored finite point method for a singular perturbation problem on an unbounded domain
Tailored finite point method for a singular perturbation problem with variable coefficients in two dimensions
Tailored finite point method for steady-state reaction-diffusion equations
Existence and regularity of solutions to time-fractional diffusion equations
A high-accuracy preserving spectral Galerkin method for the Dirichlet boundary-value problem of variable-coefficient conservative fractional diffusion equations
Spectral direction splitting methods for two-dimensional space fractional diffusion equations
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations
Blow-up and global solutions for a class of time fractional nonlinear reaction-diffusion equation with weakly spatial source
The accuracy and stability of an implicit solution method for the fractional diffusion equation
Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
The discontinuous Galerkin finite element method for Caputo-type nonlinear conservation law
Regularity theory for time-fractional advection-diffusion-reaction equations
A compact finite difference scheme for variable order subdiffusion equation
Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem
A new tailored finite point method for strongly anisotropic diffusion equation on misaligned grids
A finite element approximation for a class of Caputo time-fractional diffusion equations
A unified spectral method for FPDEs with two-sided derivatives. II: Stability, and error analysis
Modeling and computing of fractional convection equation
Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data
Regularity theory for a nonlinear fractional reaction-diffusion equation
Finite difference/spectral approximations for the time-fractional diffusion equation
A Fourier method for the fractional diffusion equation describing sub-diffusion
A fully discrete difference scheme for a diffusion-wave system
Weighted average finite difference methods for fractional diffusion equations
A semi-discrete tailored finite point method for a class of anisotropic diffusion problems
Wellposedness and regularity of the variable-order time-fractional diffusion equations
FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
Tailored finite point method based on exponential bases for convection-diffusion-reaction equation
Fractional differentiation matrices with applications

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