时滞抛物型方程的拟小波精细积分法  

Quasi Wavelet Precise Integration Method for Delay Parabolic Equations

作　　者：刘明鼎[1] 

机构地区：[1]青岛理工大学琴岛学院,山东青岛266106

出　　处：《长春大学学报》2013年第4期440-443,共4页Journal of Changchun University

基　　金：国家自然科学基金项目(11271101)

摘　　要：对时滞抛物型方程初值问题提出了采用拟小波精细积分法进行计算,采取拟Shannon尺度函数为权函数,利用小波配点法对空间域离散,将时滞抛物型方程转化为常微分方程组,然后用高效的精细积分法求解时滞常微分方程组。这种方法的优点是精确度高、稳定性好。数值算例表明,本文提出的拟小波精细积分法具有很高的精度,因而是一种有效的数值方法。In view of the initial value problem for delay parabolic equations, this paper puts forward the method of quasi wavelet precise integration, which adopts quasi Shannon scaling function as the weight function, uses wavelet collocation method for space domain dis- crete and turns delay parabolic equations to ordinary differential equations. The effective precise integration method is used to solve de- lay ordinary differential equations. This method has the advantages of high precision and good stability. The numerical example indi- cates that the quasi wavelet precise integration method given is not only accurate, but also effective.

关 键 词：时滞抛物型方程 拟小波 配点法 精细积分法 

分 类 号：O241.8[理学—计算数学]