Computational Methods for Solving System of Volterra Integral Equation: Computational Methods for Solving System of linear Volterra Integral and Integro-differential Equations - Brossura
Sinossi
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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L'autore
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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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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Taschenbuch. Condizione: 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. Codice articolo 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
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LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3844330755
ISBN 13: 9783844330755
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Taschenbuch. Condizione: Neu. Computational Methods for Solving System of Volterra Integral Equation | Computational Methods for Solving System of linear Volterra Integral and Integro-differential Equations | Rostam K. Saeed (u. a.) | Taschenbuch | 164 S. | Englisch | 2011 | LAP LAMBERT Academic Publishing | EAN 9783844330755 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. Codice articolo 107027105
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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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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. 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.Books on Demand GmbH, Überseering 33, 22297 Hamburg 164 pp. Englisch. Codice articolo 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
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LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3844330755
ISBN 13: 9783844330755
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Taschenbuch. Condizione: 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. Codice articolo 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
Editore:
LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3844330755
ISBN 13: 9783844330755
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