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Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (2): 161-169.

• 论文 • 上一篇    下一篇

A DIFFERENCE METHOD FOR SINGULAR PERTURBATION PROBLEM OF HYPERBOLIC-PARABOLIC PARTIALDIFFERENTIAL EQUATION

沈锦仁   

  1. Nanjing University, Nanjing
  • 收稿日期:1984-12-29 出版日期:1986-02-18 发布日期:1986-02-18

A DIFFERENCE METHOD FOR SINGULAR PERTURBATION PROBLEM OF HYPERBOLIC-PARABOLIC PARTIALDIFFERENTIAL EQUATION

Sheng Jin-reng   

  1. Nanjing University, Nanjing
  • Received:1984-12-29 Online:1986-02-18 Published:1986-02-18

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摘要： In this paper we constructed an exponentially fitted difference scheme for singular perturbation problem of hyperbolic-parabolic partial differential equation. Not only do we take a fitting factor in the equation, but also we put one in the approximation of second initial condition. By means of the asymptotic solution of singular perturbation problem we proved the uniform convergence of this scheme with respect to the small parameter.

关键词: heat exchange, jet, interfacial instability, spray forming

Abstract: In this paper we constructed an exponentially fitted difference scheme for singular perturbation problem of hyperbolic-parabolic partial differential equation. Not only do we take a fitting factor in the equation, but also we put one in the approximation of second initial condition. By means of the asymptotic solution of singular perturbation problem we proved the uniform convergence of this scheme with respect to the small parameter.

Key words: heat exchange, jet, interfacial instability, spray forming

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