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Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem
Authors:Z Avazzadeh  M Heydari  GB Loghmani
Institution:Department of Mathematics, Yazd University, Yazd, Iran
Abstract:In this paper, we present a new semi-analytical method for solving linear and nonlinear Fredholm integral and integro-differential equations of the second kind and the systems including them. The main idea in this method is applying the mean value theorem for integrals. Some examples are presented to show the ability of the model. The results confirm that the method is very effective and simple.
Keywords:Integral mean value theorem  Fredholm integral equations (IE)  Fredholm integro-differential equations (IDE)  Systems of Fredholm IE and IDE
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