In this paper, we study the behaviour of the maximum ( Max.) and minimum (Min.) error for Fredholm-Volterra integral equations (F-VIEs) of the second kind
using Collocation (CM) and Galerkin (GM) methods by choosing N-linearly independent
functions. The approximate solution is obtained by two techniques; the first technique
(1st TM) depends on representing F-VIE as a system of Fredholm integral equations
(FIEs) of the second kind where the approximate (Appr.) solution is obtained as
functions of x at fixed times. In the second technique (2nd TM), we represent the
approximate solution as a sum of functions of x and t. Furthermore, the comparisons
between the results which are obtained by two techniques in each method are devoted
and results are represented in group of figures and tables. |
