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Computational Methods for Solving System of Volterra Integral Equation: Computational Methods for Solving System of linear Volterra Integral and Integro-differential Equations - Softcover
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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About the Author
Name: Dr. Rostam K. Saeed Place of Birth: Iraqi Kurdistan Region, Erbil. Scientific Rank: Professor E-mail: rostamkarim@yahoo.com, rostamkarim64@uni-sci.org
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- PublisherLAP LAMBERT Academic Publishing
- Publication date2011
- ISBN 10 3844330755
- ISBN 13 9783844330755
- BindingPaperback
- LanguageEnglish
- Number of pages164
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Computational Methods for Solving System of Volterra Integral Equation
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LAP LAMBERT Academic Publishing Apr 2011, 2011
ISBN 10: 3844330755
ISBN 13: 9783844330755
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 164 pp. Englisch. Seller Inventory # 9783844330755
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Computational Methods for Solving System of Volterra Integral Equation : Computational Methods for Solving System of linear Volterra Integral and Integro-differential Equations
Published by
LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3844330755
ISBN 13: 9783844330755
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Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9783844330755
Quantity: 1 available
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Computational Methods for Solving System of Volterra Integral Equation: Computational Methods for Solving System of linear Volterra Integral and Integro-differential Equations
Published by
LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3844330755
ISBN 13: 9783844330755
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