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Ahmad Molabahrami

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

Title
Solving a general nonlinear Fredholm integro-differential equation under the mixed conditions
Type
Presentation
Keywords
Nonlinear Fredholm integro-differential equations; Integral mean value method; Mixed conditions; Series pattern solution.
Year
2012
Researchers Ahmad Molabahrami

Abstract

In this paper, the integral mean value method is employed to handle the general nonlinear Fredholm integro-di erential equations under the mixed conditions. The application of the method is based on the integral mean value theorem for integrals. By using the integral mean value method, an integro-di erential equation is trans- formed to an ordinary di erential equation, then by solving it, the obtained solution is transformed to a system of nonlinear algebraic equations to calculate the unknown values. The efficiency of the approach will be shown by applying the procedure on some examples. In this respect, a comparison with series pattern solutions, obtained by some analytic methods, is given. For the approximate solution given by integral mean value method, the bounds of the absolute errors are given. The Mathematica program of the integral mean value method based on the procedure in this paper is designed.