Open AccessInvestigation approach for a nonlinear singular Fredholm integro-differential equation
Author(s) -
Sami Touati,
Mohamed-Zine Aissaoui,
Samir Lemita,
Hamza Guebbai
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.46898
Subject(s) - uniqueness , kernel (algebra) , fredholm integral equation , mathematics , nonlinear system , fredholm theory , integro differential equation , mathematical analysis , iterative method , differential equation , scheme (mathematics) , integral equation , mathematical optimization , pure mathematics , first order partial differential equation , physics , quantum mechanics
In this paper, we examine the existence and uniqueness of the solution of nonlinear integro-differential Fredholm equation with a weakly singular kernel. Then, we develop an iterative scheme to approach this solution using the product integration method. Finally, we conclude with a numerical tests to show the effectiveness of the proposed method.