A simple form for the fourth order difference method for 3-D elliptic equations

DOI10.1016/j.amc.2006.05.156zbMath1115.65107OpenAlexW2055095580MaRDI QIDQ879521

Seyedeh Mahboubeh Molavi-Arabshahi, Mehdi Dehghan

Publication date: 14 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.156

zbMATH Keywords

numerical examplesfinite difference schemeselliptic partial differential equationsfourth order technique

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Finite difference methods for boundary value problems involving PDEs (65N06)

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Uses Software

• CGS

Cites Work

• Unnamed Item
• Multigrid solution of high order discretisation for three-dimensional biharmonic equation with Dirichlet boundary conditions of second kind
• BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
• Block alternating group explicit preconditioning (blage) for a class of fourth order difference schemes
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• A fourth‐order difference method for elliptic equations with nonlinear first derivative terms
• Fourth-order finite difference method for three-dimensional elliptic equations with nonlinear first-derivative terms
• The solution of the three-dimensional Navier-Stokes equations using a new finite difference approach
• An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitian Matrices
• Numerical Solution of Laplace Equation in a Disk using the Adomian Decomposition Method