Approximation Solution to Solving Linear Volterra-Fredholm Integro-Differential Equations of the Second Kind by Using Bernstein Polynomials Method
Shahooth MK*, Ahmad RR, Din U-KS, Swidan W, Al-Husseini OK and Shahooth WK
Department of Mathematics, Faculty Science and Technology, National University of Malaysia, Malaysia
- *Corresponding Author:
- Shahooth MK
Department of Mathematics
Faculty Science and Technology
National University of Malaysia, Malaysia
E-mail: [email protected]
Received Date: February 15, 2016; Accepted Date: April 28, 2016; Published Date: May 04, 2016
Citation: Shahooth MK, Ahmad R, Salma U, Swidan W, Al-Husseini OK, et al. (2016) Approximation Solution to Solving Linear Volterra-Fredholm Integro-Differential Equations of the Second Kind by Using Bernstein Polynomials Method. J Appl Computat Math 5:298. doi:10.4172/2168-9679.1000298
Copyright: © 2016 Shahooth MK, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
The aim of this study is to present numerical method for solving the linear Volterra-Fredholm integro-differential equations of the second kind. This method is called the Bernestein polynomials method. This technique transforms the integro-differential equations to the system of algebraic equations. Some numerical results are presented to illustrate the efficiency and accuracy of this method.