Computational Methods for Solving System of Volterra Integral Equation: Computational Methods for Solving System of linear Volterra Integral and Integro-differential Equations - Couverture souple

K. Saeed, Rostam; M. Al-Faour, Omer

 
9783844330755: Computational Methods for Solving System of Volterra Integral Equation: Computational Methods for Solving System of linear Volterra Integral and Integro-differential Equations
Couverture souple
ISBN 10 : 3844330755 ISBN 13 : 9783844330755
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

In this work the existence and uniqueness theorem for single linear Volterra integral equation has been generalized to a system of linear Volterra integral equation of the second kind. Depending on Banach fixed point theorem, some new results have been proved.Also, a Taylor series expansion has been considered to solve a system of linear Volterra integral equations of the second kind and a system of linear Volterra integro-differential equations of the second kind.In addition, three different types of iterative methods have been formulated to solve above systems. Furthermore, we derive a new iterative method named by "modified successive approximation method" to solve above systems. By this modification a faster rate of convergence for the successive method is established. Also, we proved a new theorem about the existence, uniqueness and convergence of this method. Two different kinds of weighted residual methods have been applied to treat the above systems. Moreover, the spectral method has been modified and applied for solving the above systems.

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Présentation de l'éditeur

In this work the existence and uniqueness theorem for single linear Volterra integral equation has been generalized to a system of linear Volterra integral equation of the second kind. Depending on Banach fixed point theorem, some new results have been proved.Also, a Taylor series expansion has been considered to solve a system of linear Volterra integral equations of the second kind and a system of linear Volterra integro-differential equations of the second kind.In addition, three different types of iterative methods have been formulated to solve above systems. Furthermore, we derive a new iterative method named by "modified successive approximation method" to solve above systems. By this modification a faster rate of convergence for the successive method is established. Also, we proved a new theorem about the existence, uniqueness and convergence of this method. Two different kinds of weighted residual methods have been applied to treat the above systems. Moreover, the spectral method has been modified and applied for solving the above systems.

Biographie de l'auteur

Name: Dr. Rostam K. Saeed Place of Birth: Iraqi Kurdistan Region, Erbil. Scientific Rank: Professor E-mail: rostamkarim@yahoo.com, rostamkarim64@uni-sci.org

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2011
Langue
anglais
ISBN 10 
3844330755
ISBN 13 
9783844330755
Reliure
Broché
Nombre de pages
164
Coordonnées du fabricant
non disponible
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