High-order implicit finite difference schemes for the two-dimensional Poisson equation

DOI10.1016/j.amc.2017.04.006zbMath1411.65145OpenAlexW2605452465MaRDI QIDQ1738117

Reymundo Itzá Balam, Miguel Uh Zapata

Publication date: 29 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.04.006

zbMATH Keywords

high-order accuracycompact difference scheme2D Poisson equationimplicit finite differencewave plane theory

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (11)

High-order blended compact difference schemes for the 3D elliptic partial differential equation with mixed derivatives and variable coefficients ⋮ Integral transform approach to mimetic discrete calculus ⋮ A fourth-order compact implicit immersed interface method for 2D Poisson interface problems ⋮ Accurate numerical method to solve flux distribution of Poisson's equation ⋮ Structural schemes for one dimension stationary equations ⋮ A compact sixth-order implicit immersed interface method to solve 2D Poisson equations with discontinuities ⋮ High-order compact finite difference methods for solving the high-dimensional Helmholtz equations ⋮ A new eighth-order implicit finite difference method to solve the three-dimensional Helmholtz equation ⋮ Extension of an exponential discretization scheme to multidimensional convection-diffusion problems ⋮ Fourth-order compact finite difference method for solving two-dimensional convection-diffusion equation ⋮ A sixth-order quasi-compact difference scheme for multidimensional Poisson equations without derivatives of source term

Cites Work

• Unnamed Item
• Unnamed Item
• Multigrid method and fourth-order compact scheme for 2D Poisson equation with unequal mesh-size discretization
• Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D Poisson equation
• A three-point sixth-order nonuniform combined compact difference scheme
• A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation
• A new fourth order discretization for singularly perturbed two dimensional nonlinear elliptic boundary value problems
• A high-order finite difference discretization strategy based on extrapolation for convection diffusion equations
• A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
• High‐order compact scheme for the steady stream‐function vorticity equations
• A compact fourth-order finite difference scheme for unsteady viscous incompressible flows.

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