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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
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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.

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