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Ahmad Molabahrami

Academic rank: Associate Professor
ORCID:
Education: PhD.
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HIndex:
Faculty: Basic Science
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Research

Title
An algorithm based on the ‎regularization and integral ‎mean value methods for the ‎Fredholm integral equations of ‎the first kind
Type
JournalPaper
Keywords
First kind Fredholm integral equations; Regularization method; Integral mean value method ;Ill-posed equations
Year
2013
Journal APPLIED MATHEMATICAL MODELLING
DOI
Researchers Ahmad Molabahrami

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.