On a nonlinear integro-differential equation of Fredholm type Online publication date: Tue, 13-Apr-2021
by Mohammed Charif Bounaya; Samir Lemita; Mourad Ghiat; Mohamed Zine Aissaoui
International Journal of Computing Science and Mathematics (IJCSM), Vol. 13, No. 2, 2021
Abstract: This work concerns an analytical and numerical study for a nonlinear Fredholm integro-differential equation, in this respect, we treat the conditions ensuring the existence and uniqueness of the solution for different varieties of kernels, thereafter, we construct a numerical approach based on the well known Nyström method. The numerical examples illustrate the efficiency of the proposed method in connection with the existence and uniqueness conditions.
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