  This paper deals with a new algorithm called modified trigonometric cubic
B-spline differential quadrature method for numerical computation of the time
dependent partial differential equations. Specially the numerical computation
of the Burgers equation is obtained by using modified trigonometric cubic B
spline differential quadrature method with time integration algorithm. The
modified trigonometric cubic B-spline differential quadrature method is
differential quadrature method with modified trigonometric cubic B-splines as
new basis. The initial boundary value system of Burgers equation is first
transformed into an initial value system of ordinary differential equations by
means of modified trigonometric cubic B-spline differential quadrature method.
The resulting system of ordinary differential equations is solved by using an
optimal five stage four order strong stability preserving RK method. The
accuracy and efficiency of the method is illustrated by five test problems in
terms of and error norms and their comparisons with existing results. The
modified trigonometric cubic B-spline differential quadrature method produces
better results than the results due to almost all the existing schemes. The
modified trigonometric cubic B-spline differential quadrature method is shown
conditionally stable using the matrix stability analysis method for various
grid points.
