摘要
给出了一种求微分方程数值解的新方法———拉普拉斯变换的数值逆,通过与传统的差分法比较,它能成功地运用到微分方程求数值解,且精度与一阶差分法相当.
This paper presents a new method - numerical inversion of the Laplace transform, which can be used to derive numerical solution of differential equation. Compared with traditional difference method, it can be effectively applied in numerical solution of differential equation, and its accuracy approaches to that of difference method of first order.
出处
《湖南师范大学自然科学学报》
EI
CAS
北大核心
2004年第2期21-25,共5页
Journal of Natural Science of Hunan Normal University
基金
国家自然科学基金资助项目(10271046)
关键词
拉普拉斯变换
数值逆
微分方程
微分方程
大数定律
Approximation theory
Differential equations
Fourier transforms
Integral equations
Inverse problems
Linear equations
Probability
