%0 Journal Article %T On The Semi-Discretization of The Sivashinsky Equation %A Davod Khojasteh Salkuyeh %J International Journal of Applied Mathematics and Computation %D 2009 %I PSIT Kanpur %X In this paper, the system of ordinary differential equations arisen from a method of semi-discretization of the Sivashinsky equation is considered and its exact solution is obtained. Then the numerical results of the proposed method are compared with that of an special full-discretization of the Sivashinsky equation. %U http://ijamc.darbose.in/ijamc/index.php/ijamc/article/view/33