An algorithm based on the regularization and integral mean value methods for the Fredholm integral equations of the first kind |
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Authors: | Ahmad Molabahrami |
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Institution: | Department of Mathematics, Ilam University, P.O. Box 69315516, Ilam, Iran |
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Abstract: | In this paper, an algorithm based on the regularization and integral mean value methods, to handle the ill-posed multi-dimensional Fredholm equations, is introduced. The application of this algorithm is based on the transforming the first kind equation to a second kind equation by the regularization method. Then, by converting the first kind to a second kind, the integral mean value method is employed to handle the resulting Fredholm integral equations of the second kind. The efficiency of the approach will be shown by applying the procedure on some examples. |
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Keywords: | First kind Fredholm integral equations Regularization method Integral mean value method Ill-posed equations |
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