文章基本信息

标题：On cubic Pade Approximation to the exponential function and its application in solving diffusion-convection equation
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作者：Jing-Hua Gao ; Mei-Yan Lin
期刊名称：International Journal of Computer Science Issues
印刷版ISSN：1694-0784
电子版ISSN：1694-0814
出版年度：2013
卷号：10
期号：6
出版社：IJCSI Press
摘要：Diagonal cubic Hermite-Pade approximation to the exponential function with coefficient polynomials of degree at most m is considered. Explicit formulas and differential equations are obtained for the coefficient polynomials. An exact asymptotic expression is obtained for the error function and it is also shown that these generalized Pade-type approximations can be used to asymptotically minimize the expressions on the unit disk. As an application, a class of local analytical difference schemes based on diagonal cubic Pade approximation for diffusion-convection equation with constant coefficients is proposed.
关键词：Pade;type approximant; Cubic Hermite;Pade approximation; Asymptotic formula; Differential equation