Integrals of Bernstein polynomials: An application for the solution of high even-order differential equations
نویسندگان
چکیده
A new explicit formula for the integrals of Bernstein polynomials of any degree for any order in terms of Bernstein polynomials themselves is derived. A fast and accurate algorithm is developed for the solution of high even-order boundary value problems (BVPs) with two point boundary conditions but by considering their integrated forms. The Bernstein–Petrov–Galerkinmethod (BPG) is applied to construct the numerical solution for such problems. Themethod is then tested on examples and comparedwith othermethods. It is shown that the BPG yields better results. © 2010 Elsevier Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Appl. Math. Lett.
دوره 24 شماره
صفحات -
تاریخ انتشار 2011