Series Solution for Single and System of Non-linear Volterra Integral Equations

  • Narmeen N. Nadir Department of Petroleum Equipment, Erbil Technology Institute, Erbil Polytechnic University
Keywords: Integral equations, non-linear, Taylor expansion, approximate solution

Abstract

In this paper, Taylor expansion has been used for solving non-linear Volterra integral equations (VIEs) of the second kind. This method allows us to overcome the difficulty caused by integrals and non-linearity; also, it has more precise and rapidly convergent to the exact solution. Two examples are presented for illustrate the performance of this method.

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Published
2020-07-20
How to Cite
1.
Nadir N. Series Solution for Single and System of Non-linear Volterra Integral Equations. cuesj [Internet]. 20Jul.2020 [cited 24Sep.2020];4(2):6-. Available from: https://journals.cihanuniversity.edu.iq/index.php/cuesj/article/view/205
Section
Research Article