Synopsis
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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About the Author
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.
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Numerical methods to solve nonlinear integral equations
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LAP LAMBERT Academic Publishing Jan 2018, 2018
ISBN 10: 6137327787
ISBN 13: 9786137327784
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 92 pp. Englisch. Seller Inventory # 9786137327784
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Numerical methods to solve nonlinear integral equations
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Numerical methods to solve nonlinear integral equations
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Numerical methods to solve nonlinear integral equations
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LAP LAMBERT Academic Publishing Jan 2018, 2018
ISBN 10: 6137327787
ISBN 13: 9786137327784
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Taschenbuch. Condition: Neu. Neuware -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.Books on Demand GmbH, Überseering 33, 22297 Hamburg 92 pp. Englisch. Seller Inventory # 9786137327784
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Numerical methods to solve nonlinear integral equations
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LAP LAMBERT Academic Publishing, 2018
ISBN 10: 6137327787
ISBN 13: 9786137327784
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9786137327784
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Numerical methods to solve nonlinear integral equations
Published by
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ISBN 10: 6137327787
ISBN 13: 9786137327784
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Taschenbuch. Condition: Neu. Numerical methods to solve nonlinear integral equations | Guechi Somia | Taschenbuch | 92 S. | Englisch | 2018 | LAP LAMBERT Academic Publishing | EAN 9786137327784 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. Seller Inventory # 111464834