Open AccessSeries Solution for Single and System of Non-linear Volterra Integral Equations
Author(s) -
Narmeen N. Nadir
Publication year - 2020
Publication title -
cihan university-erbil scientific journal
Language(s) - English
Resource type - Journals
eISSN - 2707-6377
pISSN - 2519-6979
DOI - 10.24086/cuesj.v4n2y2020.pp6-8
Subject(s) - volterra integral equation , integral equation , taylor series , mathematics , linearity , volterra equations , series (stratigraphy) , volterra series , convergent series , mathematical analysis , calculus (dental) , nonlinear system , physics , power series , medicine , paleontology , dentistry , quantum mechanics , biology
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.