Reliable Iterative Method for solving Volterra -Fredholm Integro Differential Equations

Samaher M. Yassein, Department of Mathematics, College of Education for Pure Science Ibn Al-Haitham, University of Baghdad, Baghdad,Iraq,Follow

Document Type

Article

Abstract

The aim of this paper, a reliable iterative method is presented for resolving many types of Volterra - Fredholm Integro - Differential Equations of the second kind with initial conditions. The series solutions of the problems under consideration are obtained by means of the iterative method. Four various problems are resolved with high accuracy to make evident the enforcement of the iterative method on such type of integro differential equations. Results were compared with the exact solution which exhibit that this technique has compatible with the right solutions, simple, effective and easy for solving such problems. To evaluate the results in an iterative process the MATLAB is used as a math program for the calculations.

Keywords

Volterra - Fredholm Integro - Differential Equations, Iterative Method, Initial Conditions.

Recommended Citation

Yassein, Samaher M. (2021) "Reliable Iterative Method for solving Volterra -Fredholm Integro Differential Equations," Al-Qadisiyah Journal of Pure Science: Vol. 26 : No. 2 , Article 1.
Available at: https://doi.org/10.29350/qjps.2021.26.2.1262