Computational Methods for Solving System of Volterra Integral Equation | Computational Methods for Solving System of linear Volterra Integral and Integro-differential Equations

Publisher

LAP LAMBERT Academic Publishing

Publication Date

2011

Language

English

ISBN 10

3844330755

ISBN 13

9783844330755

Binding

Taschenbuch

Condition

Neu

Dimensions

Weight

262 grams

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About this title

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.

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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