A numerical technique for the solution of singular integral equations of the second kind is presented. The technique extends the piecewise quadratic method used by A. Gerasoulis to solve singular integral equations of the first kind. Quadrature formulae are derived in terms of infinite series and are used to reduce the integral equation to a set of linear algebraic equations. Two numerical examples are given, and the results are compared with exact solutions.
ASJC Scopus subject areas
- Applied Mathematics