Numerical Solution using discretized collocation method numerical solution of integral-algebraic equations of index one using discretized method

Abstract

Integral-Algebraic Equations model a large-scale process that
appears in many applied fields. Throughout this paper we analyze the numerical solution for the class of Integral-Algebraic Equations of index one. We derive the system for the Discretized Collocation Method to solve Integral-Algebraic Equations of index one with linear and nonlinear kernels. Moreover, we obtain the global convergence error. We use an example to compare both Spline and Discretized Collocation methods.