摘要
有差分法作为数值求微分程一种手段,已经了广泛应用.为了使Caputo数计算更加精确,通过有差分法建立了性插值(格式I)和分片二次插值(格式II)两种近似计算格式,并对这两种格式误差进行了分析和对比,果表明,格式II可更优误差估计,因此格式II可推广应用分数阶微分程求中.
As a means of numerical solution of differential equations,the finite difference method has been widely used.In order to make the calculation of Caputo derivative more accurate,the paper constructs two approximate calculation formats of linear interpolation（Format I） and slice two interpolation（Format II） through the finite difference method,and makes analyses and comparisons of errors of the two formats.The results show that Format II can obtain a better error estimation,so Format II can be generalized to the solution of fractional differential equations.
出处
《温州大学学报（自然科学版）》
2013年第2期1-6,共6页
Journal of Wenzhou University(Natural Science Edition)
基金
国家自然科学基金(11161026)
关键词
Caputo数
性插值
分片二次插值
Caputo Derivative
Linear Interpolation
Slice Two Interpolation
