摘要
Laplace变换与B样条在社会生活的各个领域都有着广泛的应用,考虑将二者联系起来,运用 B样条方法求解Laplace积分。对Laplace积分具有导数不连续点的像原函数,运用重节点B样条进行拟合,再引入差商,以两个不同出发点导出Laplace积分的算法。并在均匀网格分划下,给出一系列解析公式,然后用算例编程计算,实例表明简单、快速而且便于计算机实现。
Laplace transform and B-spline are both widely used in various fields. Considering their union,B-spline is used during Laplace integral. Function with non-smooth point, is approximated by B-spline, then integrated. A set of analytic formulas are given. Experimental results show that the scheme behaves well.
出处
《南京气象学院学报》
CSCD
北大核心
2002年第1期100-104,共5页
Journal of Nanjing Institute of Meteorology
基金
南京气象学院科研基金项目Y101