Harten solution for one-dimensional unsteady equation

Abstract

hi order to use tire second-order 5-point d!fference scheme mentioned to compute the solution of onc dimension unsteady equations of the direct reflection of the strong plane detonation wave meeting a solid wall barrier, in this paper, we technically construct the d(ffcrence schemes qf the boundary and sub-boundary of the problem, and dethwe the atao-analogue attalytie solutions of the initial value problem, and at the same time. we present a method for the singular property oJ the initial value problem. from which we can get a .~'ati.s~wtory computation result of this difficult problem.TIw d(f.ferenec scheme ,tsed in this paper to deal with the discontinuity problems t~/" the shock ware are valuable and worth generalization.