A high-order compact difference scheme for 2D Laplace and Poisson equations in non-uniform grid systems

DOI10.1016/j.cnsns.2007.07.017zbMath1221.65289OpenAlexW2039933292MaRDI QIDQ718836

Bin Chen, Zhifeng Yang, Gordon H. Huang, Xu An Wang

Publication date: 24 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2007.07.017

zbMATH Keywords

difference schemeLaplace equationPoisson equationhigh accuracynon-uniform grid system

Mathematics Subject Classification ID

Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (10)

Fourth-order compact finite difference methods and monotone iterative algorithms for semilinear elliptic boundary value problems ⋮ Fourth-Order Compact Finite Difference Methods and Monotone Iterative Algorithms for Quasi-Linear Elliptic Boundary Value Problems ⋮ A spectral collocation method based on Haar wavelets for Poisson equations and biharmonic equations ⋮ Global Solutions for the Two-Component Camassa–Holm System ⋮ A high accuracy compact semi-constant mesh off-step discretization in exponential form for the solution of non-linear elliptic boundary value problems ⋮ Compact optimal quadratic spline collocation methods for the Helmholtz equation ⋮ Compact-FDM for mildly nonlinear two-space dimensional elliptic BVPs in polar coordinate system and its convergence theory ⋮ Compact half step approximation in exponential form for the system of 2D second-order quasi-linear elliptic partial differential equations ⋮ A geometric full multigrid method and fourth-order compact scheme for the 3D Helmholtz equation on nonuniform grid discretization ⋮ A CONTINUOUS INTERPOLATION BETWEEN CONSERVATIVE AND DISSIPATIVE SOLUTIONS FOR THE TWO-COMPONENT CAMASSA–HOLM SYSTEM

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