Abstract
This paper presents the development of 5th order 6-point scheme for high-order precision computation scheme based on the characteristic curve method. As this scheme does not meet TVD conditions, it is newly developed for translation into the conservative form in order to apply the flux limiter and discriminator. It is defined as a 5th order conservative 6-point scheme. This proposed scheme is adapted and cleared one or two dimension problems in addition to the multiple dimensions. It is proved that the proposed scheme can be achieved excellent results from computer simulations.
