STATIONARY AND NONSTATIONARY ITERATIVE METHODS FOR NONLINEAR BOUNDARY-VALUE-PROBLEMS

Authors
SHRIDHARAN R AGARWAL RP
Citation
R. Shridharan et Rp. Agarwal, STATIONARY AND NONSTATIONARY ITERATIVE METHODS FOR NONLINEAR BOUNDARY-VALUE-PROBLEMS, Mathematical and computer modelling, 18(2), 1993, pp. 43-62
Citations number
19
Categorie Soggetti
Mathematics,Mathematics,"Computer Applications & Cybernetics
Journal title
Mathematical and computer modelling → ACNP
ISSN journal
08957177
Volume
18
Issue
2
Year of publication
1993
Pages
43 - 62
Database
ISI
SICI code
0895-7177(1993)18:2<43:SANIMF>2.0.ZU;2-S
Abstract
For a given differential system together with nonlinear boundary condi tions, we develop a very general class of stationary and nonstationary iterative methods. Assuming the existence of a continuous approximate solution of the problem, we provide sufficient conditions for the con vergence of these iterative methods. The computational aspects of thes e iterative methods are also discussed. Further, to make the analysis widely applicable, all the results are proved component-wise.