两组色散方程三层高精度显格式
发布时间：2018-07-15 20:11
【摘要】：针对色散方程沆u/沆t=a沆3u/沆x3,a为常数的初边值问题,采用组合差商法,构造了两组互为对称带参数的三层四点显式差分格式.格式的局部截断误差阶为O(τ2+h4),稳定性条件为0|r|≤1/4.当其中的参数满足一定的条件后,格式的精确度可以提高到O(τ2+h6),稳定性条件为0|r|≤1/60.这是两组高精度差分格式.最后用数值例子验证了理论分析的正确性.
[Abstract]:Aiming at the initial boundary value problem of the dispersive equation Kang u / Kang Kang Kang 3u/ x3a as a constant, the combined difference quotient method is used to construct two sets of three-layer four-point explicit difference schemes with symmetric parameters. The order of local truncation error of the scheme is O (蟿 2 h 4), and the stability condition is 0% r 鈮，
本文编号：2125247
[Abstract]:Aiming at the initial boundary value problem of the dispersive equation Kang u / Kang Kang Kang 3u/ x3a as a constant, the combined difference quotient method is used to construct two sets of three-layer four-point explicit difference schemes with symmetric parameters. The order of local truncation error of the scheme is O (蟿 2 h 4), and the stability condition is 0% r 鈮，
本文编号：2125247
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