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Sinopsis
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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Acerca del autor
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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- EditorialLAP LAMBERT Academic Publishing
- Año de publicación2018
- ISBN 10 6137327787
- ISBN 13 9786137327784
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas92
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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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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: 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. Nº de ref. del artículo: 9786137327784
Cantidad disponible: 2 disponibles
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Numerical methods to solve nonlinear integral equations
Publicado por
LAP LAMBERT Academic Publishing, 2018
ISBN 10: 6137327787
ISBN 13: 9786137327784
Nuevo
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Condición: New. Nº de ref. del artículo: 385844875
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Numerical methods to solve nonlinear integral equations
Publicado por
LAP LAMBERT Academic Publishing, 2018
ISBN 10: 6137327787
ISBN 13: 9786137327784
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Taschenbuch. Condición: 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. Nº de ref. del artículo: 9786137327784
Cantidad disponible: 1 disponibles
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Numerical methods to solve nonlinear integral equations
Publicado por
LAP LAMBERT Academic Publishing Jan 2018, 2018
ISBN 10: 6137327787
ISBN 13: 9786137327784
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: 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. Nº de ref. del artículo: 9786137327784
Cantidad disponible: 2 disponibles
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Numerical methods to solve nonlinear integral equations
Publicado por
LAP LAMBERT Academic Publishing, 2018
ISBN 10: 6137327787
ISBN 13: 9786137327784
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Librería: Revaluation Books, Exeter, Reino Unido
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Paperback. Condición: Brand New. 92 pages. 8.66x5.91x0.21 inches. In Stock. Nº de ref. del artículo: zk6137327787
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