文章基本信息

标题：A Variable Step-Size Exponentially Fitted Explicit Hybrid Method for Solving Oscillatory Problems
本地全文：下载
作者：F. Samat ; F. Ismail ; M. B. Suleiman 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2011
卷号：2011
DOI：10.1155/2011/328197
出版社：Hindawi Publishing Corporation
摘要：An exponentially fitted explicit hybrid method for solving oscillatory problems is obtained. This method has four stages. The first three stages of the method integrate exactly differential systems whose solutions can be expressed as linear combinations of {1,𝑥,exp(𝜇𝑥),exp(−𝜇𝑥)},𝜇∈C, while the last stage of this method integrates exactly systems whose solutions are linear combinations of {1,𝑥,𝑥2,𝑥3,𝑥4,exp(𝜇𝑥),exp(−𝜇𝑥)}. This method is implemented in variable step-size code basing on an embedding approach. The stability analysis is given. Numerical experiments that have been carried out show the efficiency of our method.