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Isomorphic iterative methods in solving singularly perturbed elliptic difference equations

✍ Scribed by Elias A. Lipitakis

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
741 KB
Volume
25
Category
Article
ISSN
0378-4754

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✦ Synopsis

A new approach for the efficient numerical solution of Singular Perturbation (SP) second order boundary-value problems based on Gradient-type methods is introduced. Isomorphic implicit iterative schemes in conjuction with the Extended to the Limit sparse factorization procedures [9] are used for solving SP second order elliptic equations in two and three-space dimensions.

Theoretical results on the convergence rate of these first-degree iterative methods for three-space variables are presented. The application of the new methods on characteristic SP boundary-value problems is discussed and numerical results are given.

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