| publication name | The Behaviour of the Maximum and Minimum Error for Fredholm-Volterra Integral Equations in Two-Dimensional Space |
|---|---|
| Authors | M. A. Abdou, G. A. Mosa and M. N. Elhamaky |
| year | 2020 |
| keywords | |
| journal | Journal of Interdisciplinary Mathematics. |
| volume | Not Available |
| issue | Not Available |
| pages | Not Available |
| publisher | Not Available |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
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.