Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems

DOI10.1016/j.cam.2007.10.007zbMath1154.65079OpenAlexW2006470678MaRDI QIDQ950075

Yuan-Ming Wang, Ben-yu Guo

Publication date: 22 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.10.007

zbMATH Keywords

convergencenumerical resultserror boundscompact finite difference methodmonotone iterationsmethod of upper and lower solutionsfourth order accuracyfourth-order nonlinear elliptic boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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 ⋮ A new coupled high-order compact method for the three-dimensional nonlinear biharmonic equations ⋮ Fourth-Order Compact Finite Difference Methods and Monotone Iterative Algorithms for Quasi-Linear Elliptic Boundary Value Problems ⋮ The compact finite difference method of two-dimensional Cattaneo model ⋮ A proper orthogonal decomposition-compact difference algorithm for plate vibration models ⋮ Compact difference scheme for <scp>two‐dimensional fourth‐order</scp> nonlinear hyperbolic equation ⋮ Compact difference scheme for parabolic and Schrödinger-type equations with variable coefficients ⋮ Error analysis of a compact finite difference method for fourth-order nonlinear elliptic boundary value problems ⋮ Compact difference scheme for time-fractional nonlinear fourth-order diffusion equation with time delay ⋮ Compact difference scheme for two-dimensional fourth-order hyperbolic equation

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