Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (4): 365-375.

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UNIFORM DIFFERENCE SCHEME FOR HYPERBOLIC-HYPERBOLIC SINGULAR PERTURBATION MIXED PROBLEMS

Yin Guang-yan   

  1. Jiangnan University, Wuxi
  • Received:1985-06-25 Online:1986-04-18 Published:1986-04-18

Abstract: A difference scheme is established in this paper for second-order hyperbolic-hyperbolic singular perturbation mixed problems. We give an energy inequality of the numerical solution and prove that the numerical solution converges to the solution of the singular perturbation problems uniformly with respect to a small parameter and in the sense of a discrete norm.

Key words: cascade design, hybrid problem, variational principle, finite element method

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