Numerical methods to solve nonlinear integral equations - Brossura

Somia, Guechi

Brossura

ISBN 10: 6137327787 ISBN 13: 9786137327784

Casa editrice: LAP LAMBERT Academic Publishing, 2018

Riassunto

Many problems which arise in mathematical physics, engineering, biology, economics,…etc., lead to mathematical models described by nonlinear integral equations. The aim of this research is to find the solution of nonlinear Volterra and Fredholm integral equation by using analytical and numerical methods such as the degenerate kernel method, the successive approximation method, the projection method, and the Nyström method. Also, we applied the new combination of Newton-Kantorovich method with modified Simpson method. Most of them transform the nonlinear integral equation into a system of linear or nonlinear algebraic equations. Finally, numerical examples are presented which demonstrate the robustness of the expansion numerical methods in determining solutions.

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Informazioni sull?autore

My name is Somia. I was born in Algeria on November 27th 1989. I am a teacher of mathematics at university at M’Sila. I am interested in ordinary differential and integral equations, etc. I obtained a doctorate degree in Applied Mathematics at university at M’Sila in the last year. I have published some scientific articles.

Dettagli dell?edizione

• Editore: LAP LAMBERT Academic Publishing
• Data di pubblicazione: 2018
• ISBN 10: 6137327787
• ISBN 13: 9786137327784
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 92
• Contatto del produttore: non disponibile