Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (3): 271-281.
吕秋强1, 周钢2, 刘应中2
Lü Qiu-qiang1, Zhou Gang2, Liu Ying-zhong2
摘要： 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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