Numerical expansion methods for solving systems of linear integral equations using interpolation and quadrature rules

Abstract

In this paper we introduce a numerical method for solving a system of linear integral equations. The main idea is based on the interpolations of unknown functions at some interpolation points chosen in advance. We then use Clenshaw–Curtis quadrature formulae to approximate the integrals appearing in the system of equations. The technique is very effective and simple, and the performance of this suggested method is illustrated by means of a few significant examples.

Keywords:

• Clenshaw–Curtis quadrature
• Lagrange interpolation
• System of linear integral equations

Acknowledgements

The author wishes to thank the referee for helpful comments.