Higher order ADI method with completed Richardson extrapolation for solving unsteady convection-diffusion equations
DOI10.1016/j.camwa.2015.12.007zbMath1443.65119OpenAlexW2219157509MaRDI QIDQ2006621
Yin Wang, Jun Zhang, Ruxin Dai
Publication date: 11 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.12.007
stability analysisRichardson extrapolationunsteady convection-diffusion equationADI methodhigher order compact scheme
Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) 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)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- A CCD-ADI method for unsteady convection-diffusion equations
- A rational high-order compact ADI method for unsteady convection-diffusion equations
- Solving advection equations by applying the Crank-Nicolson scheme combined with the Richardson extrapolation
- A high order finite difference method with Richardson extrapolation for 3D convection diffusion equation
- High-order compact ADI methods for parabolic equations
- Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D Poisson equation
- High order difference schemes for unsteady one-dimensional diffusion- convection problems
- High order ADI method for solving unsteady convection-diffusion problems
- A fourth-order compact ADI method for solving two-dimensional unsteady convection--diffusion problems
- A high-order Padé ADI method for unsteady convection-diffusion equations
- Extension of high-order compact schemes to time-dependent problems
- EXPONENTIAL COMPACT HIGHER-ORDER SCHEMES AND THEIR STABILITY ANALYSIS FOR UNSTEADY CONVECTION-DIFFUSION EQUATIONS
- Integrated fast and high-accuracy computation of convection diffusion equations using multiscale multigrid method
- Completed Richardson extrapolation
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
- A third-order semi-implicit finite difference method for solving the one-dimensional convection-diffusion equation
- A high-order finite difference discretization strategy based on extrapolation for convection diffusion equations
- A class of higher order compact schemes for the unsteady two-dimensional convection-diffusion equation with variable convection coefficients
- An exponential high‐order compact ADI method for 3D unsteady convection–diffusion problems
- Application of Richardson extrapolation to the numerical solution of partial differential equations
- Fourth‐order compact schemes for solving multidimensional heat problems with Neumann boundary conditions