Computational Methods Solving System by Saeed Rostam (4 results)
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Taschenbuch. Condition: 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 | V…erantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu.
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Language: English
Published by LAP LAMBERT Academic Publishing Apr 2011, 2011
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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 n…ew 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.
Language: English
Published by LAP LAMBERT Academic Publishing Apr 2011, 2011
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. 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 r…esults 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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 164 pp. Englisch.
