Higher order trigonometric B-spline algorithms to the solution of coupled Burgers’ equation

Abstract

Trigonometric B-spline functions of higher degrees have advantages over lower ones since they can be used as approxi-mate functions in the numerical methods if the differential equation include higher order derivatives. Thus the collocation method based on higher degree trigonometric B-splines is set up to get numerical solutions of the Coupled Burgers’ equation. The un-knowns of the coupled Burgers equation are integrated in time by the aid of the Crank-Nicolson method. Resulting time-integrated coupled Burgers’ equation is discretized using the trigonometric B-spline collocation method. One initial and boundary value problem of the Coupled Burgers’ equation is studied by the proposed technique.