摘要
给出了求解变系数一维抛物型方程的高精度数值级数解法,其特点是通过在离散后的网格节点处先将数值解用级数进行表示并求解.通过数值算例验证该方法是收敛和稳定的,并且具有很高的精度,因此数值级数解法是一个实用的方法.
A high accuracy numerical method to solve the one-dimensional variable coefficients parabolic equation.The feature of this method is to use series express numerical solutions at each mesh point.A numerical example shows that this method has not only convergence and stability,but also higher accuracy.So the numerical method is a practical method.
作者
刘明鼎
张艳敏
段素芳
LIU Ming-ding, ZHANG Yan-min, DUAN Su-fang(Qindao College, Qingdao Technological University,266106,Qingdao,Shandong,PR)
出处
《曲阜师范大学学报（自然科学版）》
CAS
2018年第3期19-24,共6页
Journal of Qufu Normal University(Natural Science)
基金
A Project of Shandong Province Higher Educational Science and Technology Program(J15LI57,J17KB053)
关键词
变系数
一维抛物方程
收敛性
稳定性
高精度
variable coefficient
one-dimensional parabolic equation
convergence
stability
high accuracy
