【摘要】：針對色散方程沆u/沆t=a沆3u/沆x3,a為常數(shù)的初邊值問題,采用組合差商法,構(gòu)造了兩組互為對稱帶參數(shù)的三層四點(diǎn)顯式差分格式.格式的局部截?cái)嗾`差階為O(τ2+h4),穩(wěn)定性條件為0|r|≤1/4.當(dāng)其中的參數(shù)滿足一定的條件后,格式的精確度可以提高到O(τ2+h6),穩(wěn)定性條件為0|r|≤1/60.這是兩組高精度差分格式.最后用數(shù)值例子驗(yàn)證了理論分析的正確性.
[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，

本文編號：2125247