In this paper, we have solved 1D special relativistic hydrodynamical
equations using different numerical method in computational gas dynamics. The
numerical solutions of these equations for smooth wave cases give better
solution when we use Non−TVD(Total Variable Diminishing) but solution of
discontinuity wave produces some oscillation behind the shock. On the other
hand, TVD type schemes give good approximation at discontinuity cases.
Because TVD schemes completely remove the oscillations, they reduce locally
the accuracy of the solution around the extrema.Comment: 8 figure