Bernstein Differential Quadrature Method for Solving  the Unsteady State Convection–Diffusion Equation

A.S.J. Al– Saif; Firas A. Al–Saadawi

Volume : III, Issue : IX, September - 2013

Bernstein Differential Quadrature Method for Solving the Unsteady State Convection–Diffusion Equation

A. S. J. Al Saif, Firas A. Al Saadawi

Abstract :

In this paper, we proposed a new technique of differential quadrature method to find numerical solutions of the convection–diffusion equation with appropriate initial and boundary conditions. The present technique is based on the Bernstein polynomial formula, which is used to construct the weighted coefficients matrices of differential quadrature method. To demonstrate its usefulness and accuracy, the new proposed method is applied to three test problems, involving different linearity. The results show that the new method is more accurate and convergent than other numerical methods in literature.