Exact solutions of nonlinear differential equations are of great importance to the theory and
practice of complex systems. The main point of this review article is to discuss a specific …

This paper is concerned with obtaining approximate numerical solutions of some classes of
integral equations by using Bernstein polynomials as basis. The integral equations …

This work deals with the constitute of numerical solutions of the generalized Korteweg-de
Vries (GKdV) equation with Petrov-Galerkin finite element approach utilising a cubic B …

Abstract For three-point Lane–Emden–Fowler boundary value problems (LEFBVPs), we
propose two robust algorithms consisting of Bernstein and shifted Chebyshev polynomials …

This paper surveys the artificial neural networks approach. Researchers believe that these
networks have the wide range of applicability, they can treat complicated problems as well …

In this paper, we introduce Shifted Orthonormal Bernstein Polynomials (SOBPs) and derive
the operational matrices of integration and delays for these polynomials. Then, we apply …

In this paper, we state and prove a new formula expressing explicitly the integratives of
Bernstein polynomials (or B‐polynomials) of any degree and for any fractional‐order in …

In this paper, we propose an efficient numerical technique for numerical solutions of the
equivalent integral form of Emden–Fowler type boundary value problems (BVPs), which …

Use of Bernstein Polynomials in Numerical Solutions of Volterra Integral Equations Page 1
Applied Mathematical Sciences, Vol. 2, 2008, no. 36, 1773 - 1787 Use of Bernstein Polynomials …

This work approximates the unknown functions based on the Bernstein polynomials and
hybrid Bernstein Block-Pulse functions, in conjunction with the collocation method for the …