The alternating group explicit (AGE) method for singularly perturbed boundary value problems
type: Item
instance of: scholarly article
title: The alternating group explicit (AGE) method for singularly perturbed boundary value problems
zbMATH Open document ID: 0821.65059
DOI: 10.1016/0096-3003(94)00087-K
author: M. K. Kadalbajoo
author: A. Appaji Rao
published in: Applied Mathematics and Computation
publication date: 1995-09-27T00:00:00Z
review text: The paper presents a computational method for the solution of singularly perturbed boundary value problems, designed on the basis of the alternating group explicit (AGE) method. The AGE scheme, which is analogous to the alternate direction implicit method and was earlier developed for solving two-point boundary value problems, employs the fractional splitting strategy: it is applied alternately at each half time step. A convergence analysis of the method is given. A parallel implementation of the method is also discussed. The proposed AGE algorithm is well fitted for parallel computing since it is having some groups of independent tasks. The strategy of implementing this algorithm on parallel computers is domain decomposition. Some numerical examples are solved and the solution by this method can be compared with the exact solution by some suggestive plots.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 753900
zbMATH Keywords: singular perturbations
zbMATH Keywords: alternating group explicit method
zbMATH Keywords: alternate direction implicit method
zbMATH Keywords: fractional splitting strategy
zbMATH Keywords: convergence
zbMATH Keywords: parallel implementation
zbMATH Keywords: parallel computing
zbMATH Keywords: domain decomposition
zbMATH Keywords: numerical examples
reviewed by: Dana Petcu
MaRDI profile type: Publication
cites work: Group explicit iterative methods for solving large linear systems
cites work: Q4774844
cites work: Q3207312
cites work: The alternating group explicit (AGE) method on a transputer network
Recommended article: Q5752189
Recommended article: The Solution of Two-Point Boundary Value Problems by the Alternating Group Explicit (AGE) Method
Recommended article: The solution of nonlinear parabolic partial differential equations by the alternating group explicit (AGE) method
Recommended article: The alternating group explicit (age) iterative method for solving parabolic equations i: 2-dimensional problems
Recommended article: The alternating group explicit (age) iterative method for solving parabolic equations II: 3 space dimensional problems
Recommended article: On the numerical solution of Helmholtz equation by alternating group explicit (AGE) methods
Recommended article: The alternating group explicit (AGE) matrix iterative method
Recommended article: Q4457923
Recommended article: The numerical solution of burgers' equation by the alternating group explicit (age) method
Recommended article: Alternating group explicit (AGE) iterative methods
description: scientific article; zbMATH DE number 753900