Sixth-order quasi-compact difference scheme for the time-dependent diffusion equation

DOI10.1007/S13160-023-00628-0MaRDI QIDQ6498420

Zhi Wang, Yongbin Ge, Tao Sun, Hai-Wei Sun

Publication date: 7 May 2024

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Stability analysis of the inverse Lax-Wendroff boundary treatment for high order central difference schemes for diffusion equations
• A CCD-ADI method for unsteady convection-diffusion equations
• A rational high-order compact ADI method for unsteady convection-diffusion equations
• High-order compact boundary value method for the solution of unsteady convection-diffusion problems
• High-order compact ADI methods for parabolic equations
• The non-classical solution for the inhomogeneous nonlinear diffusion equation
• An optimal compact sixth-order finite difference scheme for the Helmholtz equation
• High order ADI method for solving unsteady convection-diffusion problems
• High-order finite difference methods for the Helmholtz equation
• Efficient and accurate numerical methods for the multidimensional convection-diffusion equations
• Higher order ADI method with completed Richardson extrapolation for solving unsteady convection-diffusion equations
• Extrapolation algorithm of compact ADI approximation for two-dimensional parabolic equation
• A sixth-order quasi-compact difference scheme for multidimensional Poisson equations without derivatives of source term
• Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations
• A new eighth-order implicit finite difference method to solve the three-dimensional Helmholtz equation
• Stability analysis of inverse Lax-Wendroff boundary treatment of high order compact difference schemes for parabolic equations
• Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
• 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
• An accurate LOD scheme for two-dimensional parabolic problems
• Extension of high-order compact schemes to time-dependent problems
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
• Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method
• A class of higher order compact schemes for the unsteady two-dimensional convection-diffusion equation with variable convection coefficients
• New classes of similarity solutions of the inhomogeneous nonlinear diffusion equations
• Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes

This page was built for publication: Sixth-order quasi-compact difference scheme for the time-dependent diffusion equation