Several New Types of Finite-Difference Schemes for Shallow-Water Equation with Initial-Boundary Value and Their Numerical Experiment

Lü Qiu-qiang; Zhou Gang; Liu Ying-zhong

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(3): 259-269

Lü Qiu-qiang, Zhou Gang, Liu Ying-zhong. Several New Types of Finite-Difference Schemes for Shallow-Water Equation with Initial-Boundary Value and Their Numerical Experiment[J]. Applied Mathematics and Mechanics, 1989, 10(3): 259-269.

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Several New Types of Finite-Difference Schemes for Shallow-Water Equation with Initial-Boundary Value and Their Numerical Experiment

Shanghai Jiaotong University Shanghai

Received Date: 1986-11-08
Publish Date: 1989-03-15

Abstract

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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References(10)

References

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