Abstract: SCM finite difference method for solving inviscid subsonic, transonic and supersonic flow over spherical cone is presented. This method is based on the mathematical theory of characteristics.In the SCM approach these coefficients are split according to the sign of the chara-oteristic slopes. The split coefficients are multiplied by appropriate one-sided. F orwardiffe-rences are associated with negative characteristic stopes, while baokward diflerchces are associated with positive slope values.In the SCM technique the governing Euler equations are solved by a secondorder accurate finit difference elgori thm in a predictor-corrector sequence. To maintain Secondorder spatial accuracy for the one-sided derivatives associated with the split coefficients the discretization formulas alternate between two-point and three -point approximation.The numerical example of the blunt spherecones have been worked in this paper and compared with Conventional finite difference to demonstrate good accuracy of SCM in rate mesh.