摘要
采用待定系数和差分逼近方程的最高相容条件相结合的方法,提出了两种精度依次为O(K3+Kh2+h2)和O(K2+Kh2+h4)的数值求解非齐次热传导方程的两层三点隐式差分格式.所得格式均是无条件稳定的。
Two new two level implicit finite difference methods with absolute stability are developed for inhomogeneous heat conduction equation in this paper. The methods are of order O(K 2+Kh 2+h 2)and O (K 2+Kh 2+h 4) recpectively. Numerical example is given to illustreat the behavior of the present method.
出处
《宁夏大学学报(自然科学版)》
CAS
1996年第3期34-38,共5页
Journal of Ningxia University(Natural Science Edition)
关键词
热传导方程
隐式差分格式
精度
差分格式
heat conduction equation
implicit difference scheme
inhomogeneous equation
high order accuracy