一类p-Laplace时滞方程的数值计算

Numerical method of a class of p-Laplace equations with delay

研究一类p-Laplace时滞方程边值问题的数值计算方法,这类方程在许多领域有着广泛的应用。使用积分插值法和线性插值公式,构造求解这类方程的差分格式,并对差分格式进行了误差分析。误差分析表明,当p=2或当p≥3时,差分方程逼近微分方程的截断误差为O(h2)。针对具体方程进行了数值实验,结果说明所给出的数值计算方法是有效的。

The numerical method for a class fields, is considered. A difference scheme method and the linear interpolation formula. when p =2 or p≥3 the truncation error was illustrate the efficiency of the scheme. of p-Laplace equations with delay, which were widely applied to many 0 （ h2 ）. Furthermore, the numerical experiment was also carried out to