Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631967 | Applied Mathematics and Computation | 2011 | 6 Pages |
Abstract
The successive approximation method was applied for the first time by N.I. Ioakimidis to solve practical cases of a Cauchy singular integral equation: the airfoil one. In this paper we study a more general case. We prove the convergence of the method in this general case. The proposed method has been tested for two kernels which are particularly important in practice. Finally, some numerical examples illustrate the accuracy of the method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Abdelaziz Mennouni, Said Guedjiba,