Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636142 | Applied Mathematics and Computation | 2006 | 14 Pages |
Abstract
In this paper, exact solution of the characteristic equation with Cauchy kernel on the interval [−1, 1] is presented. Next, Jacobi polynomials are used to derive approximate solutions of the characteristic and general Cauchy-type singular integral equations. Moreover, estimations of errors of the approximated solutions are presented and proved.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Paweł Karczmarek, Dorota Pylak, Michail A. Sheshko,