Investigation approach for a nonlinear singular Fredholm integro-differential equation | Zendy

Sami Touati | Zendy; Mohamed Zine Aissaoui | Zendy; Samir Lemita | Zendy; Hamza Guebbaï | Zendy

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Investigation approach for a nonlinear singular Fredholm integro-differential equation

Author(s) -

Sami Touati,

Mohamed Zine Aissaoui,

Samir Lemita,

Hamza Guebbaï

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.

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