Preconditined semilinear stochastic singular and hypersingular integral equations
作者:
D. Rostami Varnos Fadrani,
K. Maleknejad,
期刊:
Stochastic Analysis and Applications
(Taylor Available online 2000)
卷期:
Volume 18,
issue 6
页码: 949-965
ISSN:0736-2994
年代: 2000
DOI:10.1080/07362990008809705
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
In this paper, three classes of preconditioners are proposed for solving some stochastic integral equations with the weakly singular kernel and the hypersingular kernel. The first and the second class of preconditioners are based on circulant operators, but the third class of preconditioners is based on iterative substructuring. It is proved that substructuring preconditioners can be better than other preconditioners. Also, the spaces of solutions are discussed such that the solutions of these equations are smooth, therefore, we give special Banach spaces for these integral equations. Finally, numerical results which support our theories are presented
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