INTEGRAL-ALGEBRAIC EQUATIONS OF INDEX-2:MODELING AND NUMERICAL ASPECTS

In this paper, we consider a particular class of mixed system of integral-Algebraic Equations (LAEs) consisting of second and first kind Volterra Integral Equations (VLEs). We develop and define the semi-explicit index-2 of this systems analogue of the definition which proposes by Kauthen and in the sequal spline collocation method is considered of numerical solution of the problem. Finally, the reliability and effciency of the proposed scheme are demonstrated by some numerical experiments.

Keywords:

Integral-algebric Equation , Indices , spline collocation scheme , Sys tem of Volterra equation