Isomorphic iterative methods in solving singularly perturbed elliptic difference equations

Elias A. Lipitakis

Mathematics and Computers in Simulation (MATCOM), 1983, vol. 25, issue 5, 405-416

Abstract: 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.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:25:y:1983:i:5:p:405-416

DOI: 10.1016/0378-4754(83)90139-8

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