Fast difference scheme for the reaction-diffusion-advection equation with exact artificial boundary conditions
DOI10.1016/j.apnum.2021.12.013zbMath1486.65113OpenAlexW4206399073MaRDI QIDQ2073965
Publication date: 3 February 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.12.013
fast algorithmartificial boundary conditionsreaction-diffusion-advection equationtempered fractional derivative
Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) 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) Laplace transform (44A10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Related Items (3)
Cites Work
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- A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions
- Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions
- Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain
- Transparent boundary conditions and numerical computation for singularly perturbed telegraph equation on unbounded domain
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Numerical solution of problems on unbounded domains. A review
- Exact and approximating boundary conditions for the parabolic problems on unbounded domains
- Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension
- A local collocation method to construct Dirichlet-type absorbing boundary conditions for transient scalar wave propagation problems
- Finite difference/finite element method for tempered time fractional advection-dispersion equation with fast evaluation of Caputo derivative
- Dirichlet absorbing boundary conditions for classical and peridynamic diffusion-type models
- Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations
- High-order local non-reflecting boundary conditions: a review
- A fully discrete difference scheme for a diffusion-wave system
- Well-posedness and numerical algorithm for the tempered fractional differential equations
- Efficient difference schemes for the Caputo-tempered fractional diffusion equations based on polynomial interpolation
- High-Order Local Absorbing Boundary Conditions for Heat Equation in Unbounded Domains
- Spectral Methods
- An artificial boundary condition for an advection-diffusion equation
- Fast Evaluation of Artificial Boundary Conditions for Advection Diffusion Equations
- Artificial Boundary Conditions for the Linear Advection Diffusion Equation
- Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
- Absorbing boundary conditions for numerical simulation of waves
- Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions
- Fast Convolution for Nonreflecting Boundary Conditions
- Artificial Boundary Method
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme
- A Fast High Order Method for the Time-Fractional Diffusion Equation
- Large-Scale Scientific Computing
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