A solution for Volterra Integral Equations of the First Kind Based on Bernstein Polynomials

Authors

  • E. Babolian Department of mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
  • M. Mohamadi Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
  • S. Yousefi Department of Mathematics, Shahid Beheshti University, G. C. Tehran, Iran.
Abstract:

In this paper, we present a new computational method to solve Volterra integral equations of the first kind based on Bernstein polynomials. In this method, using operational matrices turn the integral equation into a system of equations. The computed operational matrices are exact and new. The comparisons show this method is acceptable. Moreover, the stability of the proposed method is studied.

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Journal title

volume 10  issue 1

pages  19- 27

publication date 2018-01-01

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