Computational Methods for Solving System of Volterra Integral Equation: Computational Methods for Solving System of linear Volterra Integral and Integro-differential Equations - Image 1

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LAP Lambert Academic Publishing Computational Methods for Solving System of Volterra Integral Equation: Computational Methods for Solving System of linear Volterra Integral and Integro-differential Equations

Name: Computational Methods for Solving System of Volterra Integral Equation: Computational Methods for Solving System of linear Volterra Integral and Integro-differential Equations
Brand: LAP Lambert Academic Publishing
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Mathematics

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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.

Product Specifications

Brand: LAP Lambert Academic Publishing
Format: paperback
ASIN: 3844330755
Category: Books > Subjects > Science, Nature & Maths > Mathematics
Domain: Amazon UK
Release Date: 17 April 2011
Listed Since: 19 April 2011

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LAP Lambert Academic Publishing 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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