数学物理学报 ›› 1999, Vol. 19 ›› Issue (3): 347-355.

• 论文 • 上一篇    下一篇

一类强非线性偏微分方程组初边值问题之逆算符解法新探

  

  1. 太原理工大学  |太原 030024
  • 出版日期:1999-08-03 发布日期:1999-08-03

A new exploration of the inverse operator solution for a kind of strong nonliear partial differential equations with initial-boundary value problems

  1. taiyuan university of technology,shanxi 030024
  • Online:1999-08-03 Published:1999-08-03

摘要:

 对填充床催化反应器的数学模型———一类强非线性偏微分方程级初—边值问题,用逆算符
法求其近似解析解,提出了用“部分解的几何平均”替代“部分解的算术平均”的新方法.从而较园
满地给出了此类方程组初—边值问题的近似解析解.

关键词: 强非线性, 近似解析解, 逆算符法, 部分解, 催化反应器.

Abstract:

 By means of the Inverse Operator Method, the approximate analytic solution for the mathematical model of the packed bed catalytic reactor (i.e.akind of strong nonliner partial differential equations  with initial-boundary value problems) are studied.A new technique,which replaces‘the arithmetic mean of the partial solutions’by ‘the geometry mean of the partial solutions’, is put forward. The technique leds that the appoximate analytic solutions are given reasonably.

Key words:  Strongnonlinearity, Approximateanalyticsolution, Inverseoperatormethod, Partialsolution, Catalyticreactor.

中图分类号: 

  • 35G