Some Different Methods via the Solution of Volterra Integral Equation

Authors

M. A. Elsayed, Department of Basic Science High Institute for Engineering Elshorouk Academy, Cairo, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In this paper, we establish, in a general case, the Volterra integral equation (VIE) from the initial value problems (IVPs). Also, some analytical and numerical methods are used to obtain the solution of VIE with a continuous kernel. In the numerical applications, the researcher based the Runge-Kutta and Trapezoid rules on the Simpson rule. This reference gives a fast convergence in the solution, a convergent error, and less than the previous traditional methods. Many numerical examples using Maple 18 are considered, and the estimated error, in each case, is computed. Keywords:

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160614

Recommended Citation

A. Elsayed, M. (2022) "Some Different Methods via the Solution of Volterra Integral Equation," Applied Mathematics & Information Sciences: Vol. 16: Iss. 6, Article 14.
DOI: http://dx.doi.org/10.18576/amis/160614
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss6/14