Abstract

In this paper, collocation and discretized collocation methods for solving third kind integral-algebraic equations numerically are developed. The global convergence analysis using the spline polynomial space $S_{m-1}^{-1}(\Pi_{N})$ is given. We exhibit the methods and tabulate the results for several numerical test cases.

Keywords: Third kind integral equations; collocation method.

MSC: 45D05, 65L60

Pages:  223$-$233     

Volume  63 ,  Issue  3 ,  2011