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Paper Information

Journal:   MATHEMATICAL SCIENCES   2018 , Volume 12 , Number 2; Page(s) 103 To 109.

Using of Bernstein spectral Galerkin method for solving of weakly singular Volterra– Fredholm integral equations

Author(s):  Erfanian Majid*, Zeidabadi Hamed
* Department of Science, School of Mathematical Sciences, University of Zabol, Zabol, Iran
In this work, we applied a new method for solving the linear weakly singular mixed Volterra– Fredholm integral equations. We now begin the theoretical study with acquirement of the variational form; in addition, we are using Bernstein spectral Galerkin method to be approximate to my problems. We estimate the error of the method by proved some theorems. Moreover, in the final section, we solved some numerical examples.
Keyword(s): Linear weakly singular Volterra Fredholm integral equation,Finite,element method,Error estimation
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