In the present article, Petrov–Galerkin method has been utilized for the numerical solution of
nonlinear time-fractional KdV–Burgers (KdVB) equation. The nonlinear KdV–Burgers …

Spherical joint is a type of common kinematic pair in spatial parallel mechanism. The
existence of spherical joint clearance has many adverse effects on the mechanism. A …

In this paper, we studied the numerical solution of a time-fractional Korteweg–de Vries (KdV)
equation with new generalized fractional derivative proposed recently. The fractional …

The aim of this paper is to propose an efficient numerical method for solving the integro-
differential equations arising in many braches of sciences using Bernstein polynomials. This …

An algorithm for approximating numerical solution to Korteweg-de Vries (KdV) and Korteweg-
de Vries-Burger's (KdVB) equations in B-polynomials (Bernstein polynomial basis) is …

In this study, we discuss the symmetries underlying Bernstein polynomial differentiation
matrices, as they are used in the collocation method approach to approximate solutions of …

In this paper, we present a numerical method for solving fractional integro-differential
equations with nonlocal boundary conditions using Bernstein polynomials. Some theoretical …

Numerical solution of a system of generalized Abel integral equations using Bernstein
polynomials 1 Introduction Page 1 Journal of Advanced Research in Scientific Computing Vol. 2 …

Dynamics of a particle in confined-harmonic potential, subjected to external static electric
and time-dependent laser fields is studied. The energy levels and wave functions of …

In this paper we propose an efficient numerical technique for solving fractional initial value
problems. It is based on the Bernstein polynomials. We derive an explicit form for the …