Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (3): 271-281.

• Articles • Previous Articles     Next Articles

SEVERAL NEW TYPES OF FINITE-DIFFERENCE SCHEMES FOR SHALLOW-WATER EQUATION WITH INITIAL-BOUNDARY VALUE AND THEIR NUMERICAL EXPERIMENT

Lü Qiu-qiang1, Zhou Gang2, Liu Ying-zhong2   

  1. 1. Taiyuan Univ of Tech., Taiyuan;2. Shanghai Jiaotong University Shanghai
  • Received:1986-11-08 Online:1989-03-18 Published:1989-03-18

Abstract: This paper proposed several new types of finite-difference methods for the shallow water equation in absolute coordinate system and put forward an effective two-step predictor-corrector method, a compact and iterative algorithm for five diagonal matrix. Then the iterative method was used for a multi-grid procedure for shallow water equation. At last, an initial-boundary value problem was considered, and the numerical results show that the linear sinusoidal wave would successively evolve into conoidal wave.

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