A Bernstein Polynomial Differential Quadrature Method for Numerical Solutions of Kawahara Equation

Abstract

A Bernstein polynomial differential quadrature method (BDQM) has been applied to study Kawahara equation
numerically. Bernstein polynomials have been used as base functions to find weighting coefficients. After
discretization via differential quadrature method, a system of ordinary differential equations is obtained which
has been solved by Runge-Kutta method. This is a simple and straightforward method which gives very good
results even for higher order partial differential equations.