Numerical Solution of Some Nonlinear Volterra Integral Equations of the First Kind

Authors

Leila Saeedi, Shahed Univesity
Abolfazl Tari, Shahed Univesity
Sayyed H. Momeni Masuleh, Shahed Univesity

Abstract

In this paper, the solving of a class of the nonlinear Volterra integral equations (NVIE) of the first kind is investigated. Here, we convert NVIE of the first kind to a linear equation of the second kind. Then we apply the operational Tau method to the problem and prove convergence of the presented method. Finally, some numerical examples are given to show the accuracy of the method.

Recommended Citation

Saeedi, Leila; Tari, Abolfazl; and Momeni Masuleh, Sayyed H. (2013). Numerical Solution of Some Nonlinear Volterra Integral Equations of the First Kind, Applications and Applied Mathematics: An International Journal (AAM), Vol. 8, Iss. 1, Article 13.
Available at: https://digitalcommons.pvamu.edu/aam/vol8/iss1/13