The smart-BLAGE algorithm for singularly perturbed 2D elliptic partial differential equations

DOI10.1016/j.amc.2007.01.030zbMath1123.65109OpenAlexW2073422707MaRDI QIDQ2383758

Ranjan Kumar Mohanty

Publication date: 19 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.01.030

zbMATH Keywords

comparison of methodssingular perturbationnumerical exampleserror analysisdiffusion-convection equationelliptic equationsingular problemsingularly perturbedarithmetic average discretizationsuccessive over relaxation methodtri-diagonal solversmart-blage algorithm

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

A brief survey on numerical methods for solving singularly perturbed problems ⋮ A new parallel iterative algorithm for solving 2D poisson equation ⋮ 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

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• Order \(h^ 4\) difference methods for a class of singular two space elliptic boundary value problems
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• Group explicit iterative methods for solving large linear systems
• The block alternating group explicit method (blage) for the solution of elliptic difference equations
• Aspects of Numerical Methods for Elliptic Singular Perturbation Problems
• Fourth-order accurate BLAGE iterative method for the solution of two-dimensional elliptic equations in polar co-ordinates
• On the application of the SMAGE parallel algorithms on a non-uniform mesh for the solution of non-linear two-point boundary value problems with singularity

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