Fourth-order accurate BLAGE iterative method for the solution of two-dimensional elliptic equations in polar co-ordinates

DOI10.1080/00207160412331286824zbMath1063.65115OpenAlexW2065111244MaRDI QIDQ4652859

Ranjan Kumar Mohanty, David J. Evans

Publication date: 28 February 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160412331286824

zbMATH Keywords

convergencenumerical examplecomparison of methodsfinite difference methoderror analysiselliptic equationfourth-order schemetri-diagonal solvercylindrical polar co-ordinatesblock alternating group explicit iterative methodblock successive overrrelaxation methodblock symmetric linear system

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

The smart-BLAGE algorithm for singularly perturbed 2D elliptic partial differential equations ⋮ A new parallel iterative algorithm for solving 2D poisson equation ⋮ Three-step BLAGE iterative method for two-dimensional elliptic boundary value problems with singularity ⋮ High-resolution half-step compact numerical approximation for 2D quasilinear elliptic equations in vector form and the estimates of normal derivatives on an irrational domain

Cites Work

• Order \(h^ 4\) difference methods for a class of singular two space elliptic boundary value problems
• Group explicit iterative methods for solving large linear systems
• The block alternating group explicit method (blage) for the solution of elliptic difference equations
• Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations

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