Chen Shao-jun. Harten Solution for One-Dimensional Unsteady Equation[J]. Applied Mathematics and Mechanics, 1993, 14(6): 515-524.
Citation: Chen Shao-jun. Harten Solution for One-Dimensional Unsteady Equation[J]. Applied Mathematics and Mechanics, 1993, 14(6): 515-524.

Harten Solution for One-Dimensional Unsteady Equation

  • Received Date: 1992-04-02
  • Publish Date: 1993-06-15
  • In order to use the second-order 5-point difference scheme mentioned to compute the solution of one 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 difference schemes of the boundary and sub-boundary of the problem, and deduce the auto-analogue analytic solutions of the initial value problem, and at the same time, we present a method for the singular property of the initial value problem, from which we can get a satisfactory computation result of this difficult problem.The difference scheme used in this paper to deal with the discontinuity problems of the shock wave are valuable and worth generalization.
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