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2012 Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability
Xueqin Lv, Yue Gao
Abstr. Appl. Anal. 2012: 1-10 (2012). DOI: 10.1155/2012/971593

Abstract

We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. Through the comparison of approximate and true solution, we can find that the method can effectively solve the linear Fredholm integro-differential equation. At the same time the numerical solution of the equation is stable.

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Xueqin Lv. Yue Gao. "Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability." Abstr. Appl. Anal. 2012 1 - 10, 2012. https://doi.org/10.1155/2012/971593

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1242.65286
MathSciNet: MR2922944
Digital Object Identifier: 10.1155/2012/971593

Rights: Copyright © 2012 Hindawi

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