Double exponential transformation in the Sinc-collocation method for a boundary value problem with fourth-order ordinary differential equation
Double exponential transformation in the Sinc-collocation method for a boundary value problem with fourth-order ordinary differential equation
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DOI：
10.1016/j.cam.2004.09.061
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发表时间：
2005-10
影响因子：
2.4
通讯作者：
Ahniyaz Nurmuhammad;M. Muhammad;M. Mori;M. Sugihara
中科院分区：
文献类型：
--
作者：
Ahniyaz Nurmuhammad;M. Muhammad;M. Mori;M. Sugihara
本文考虑了一种结合双指数变换（简称DE变换）的Sinc-collocation方法求解四阶常微分方程两点边值问题.通过这种方法的收敛速度O（exp（-cN/logN）），其中N是一个参数表示的Sinc近似的项数。通过与基于单指数变换的结果进行比较，证实了该方法的高效性。
In this paper we consider a Sinc-collocation method for the two-point boundary value problem of fourth-order ordinary differential equation incorporated with the double exponential transformation (abbreviated as the DE transformation). By this method a convergence rate O(exp(-cN/logN)) where N is a parameter representing the number of terms in the Sinc approximation is attained. We compared the result with ones based on the single exponential transformation which made us confirm the high efficiency of the present method.