本文選題：Hamiton系統(tǒng) + Preissmann格式　； 參考：《西北師范大學(xué)學(xué)報(bào)(自然科學(xué)版)》2017年01期

【摘要】：高階KdV類型水波方程作為一類重要的非線性方程有著廣泛的應(yīng)用前景.基于Hamilton空間系的多辛理論研究了一類高階KdV類型水波方程的數(shù)值解法,利用Preissmann方法構(gòu)造了離散半隱式的多辛格式,該格式滿足多辛守恒律.數(shù)值算例表明該多辛離散格式具有較好的長(zhǎng)時(shí)間數(shù)值穩(wěn)定性.
[Abstract]:As an important class of nonlinear equations, high order KdV type water wave equations have a wide application prospect. Based on the multi-symplectic theory of Hamilton space system, the numerical solution of a class of high-order KdV type water wave equations is studied. A discrete semi-implicit multi-symplectic scheme is constructed by using the Preissmann method, which satisfies the multi-symplectic conservation law. Numerical examples show that the multi-symplectic discrete scheme has good numerical stability for a long time.
【作者單位】： 普洱學(xué)院數(shù)學(xué)系;西北大學(xué)數(shù)學(xué)系;
【基金】：云南省教育廳項(xiàng)目(2015Y490) 普洱學(xué)院創(chuàng)新團(tuán)隊(duì)資助項(xiàng)目(CXTD003)
【分類號(hào)】：O241.82
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本文編號(hào)：1954765