摘要
本文用有限差分法和复化梯形公式的混合法来构造一种近似格式,从而求得一类微分积分方程的数值解,并用压缩映象原理证明此数值解的存在性和收敛性。该方法使用方便、可靠,适合于物理和工程领域的实际应用。
An approximate format is set up by using the finite difference method combined with the repeated trapeze formula for obtaininge the numerical solution of a class of differential-integral equation. The existence and covergence of the numerical solution is proved by contraction mapping principle. The method is convenient, reliable and suitable for practical use in physics and engineering field
出处
《西安矿业学院学报》
北大核心
1992年第1期93-97,共5页
Journal of Xi'an University of Science & Technology
关键词
差分
微分方程
积分方程
数值解
difference, operator equation, contraction mapping