Use of Bernstein Polynomials in Numerical Solutions of Volterra Integral Equations
نویسندگان
چکیده
Bernstein polynomials have been recently used for the solution of some linear and non-linear differential equations, both partial and ordinary, by Bhatta and Bhatti [1] and Bhatti and Bracken [2]. Also these have been used to solve some classes of inegral equations of both first and second kinds, by Mandal and Bhattacharya [3]. These were further used to solve a Cauchy singular integro-differential equation by Bhattacharya and Mandal [4]. In this paper we have developed a very simple method to solve Volterra integral equations of both first and second kinds and having regular as well as weakly singular kernels, using Bernstein polynomials. Bernstein polynomials can be defined on some interval [a, b] by,
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