Solutions of differential equations in a Bernstein polynomial basis

By M. Bhatti, P. Bracken. 2007

264 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Solution of fractional-order differential equations based on the operational matrices of new fractional Bernstein functions (2017, methodology): “Besides that Bhatti and Bracken (2007) solved the differential equations by using Galerkin method based on the Bernstein polynomial basis.”
Bernstein series solutions of pantograph equations using polynomial interpolation (2012, background): “3 Bernstein polynomials The nth degree Bernstein polynomials are defined by [21]”
Use of Bernstein Polynomials in Numerical Solutions of Volterra Integral Equations (2008, methodology): “Introduction 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].”