• SOLUTION OF SECOND KIND VOLTERRA INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATION BY BERNSTEIN POLYNOMIALS METHOD

MOHAMMED. KHALID SHAHOOTH*, OMAR. K. AL-HUSSEINI**

Abstract


In this paper, we introduce a solution of second kind Volterra integral and integro-differential equations by using Bernstein polynomials method (BPM). First, we introduce the proposed method, then we used it to transform the integral and integro-differential equations to the system of algebraic equations. Finally, the numerical examples illustrate the efficiency and accuracy of this method.


Keywords


Integral Equations, Integro-differential Equations, Bernstein polynomials method.

Full Text:

PDF


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2020 International Journal of Mathematical Archive (IJMA)
Copyright Agreement & Authorship Responsibility
Web Counter