  In this article, we study the numerical solution of the one dimensional
nonlinear sine-Gordon by using the modified cubic B-spline differential
quadrature method. The scheme is a combination of a modified cubic B spline
basis function and the differential quadrature method. The modified cubic B
spline is used as a basis function in the differential quadrature method to
compute the weighting coefficients. Thus, the sine Gordon equation is converted
into a system of ordinary differential equations (ODEs). The resulting system
of ODEs is solved by an optimal five stage and fourth order strong stability
preserving Runge Kutta scheme. The accuracy and efficiency of the scheme are
successfully described by considering the three numerical examples of the
nonlinear sine Gordon equation having the exact solutions.
