Solving 1-D special relativistic hydrodynamics (SRH) equations using different numerical methods and results from different test problems

In this paper, we have solved 1-D special relativistic hydrodynamical equations using different numerical methods in computational gas dynamics. 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.