文章基本信息

标题：A new exponential Jacobi pseudospectral method for solving high-order ordinary differential equations
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作者：Ali H Bhrawy ; Ramy M Hafez ; Jameel F Alzaidy 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：152
DOI：10.1186/s13662-015-0491-x
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper reports new orthogonal functions on the half line based on the definition of the classical Jacobi polynomials. We derive an operational matrix representation for the differentiation of exponential Jacobi functions which is used to create a new exponential Jacobi pseudospectral method based on the operational matrix of exponential Jacobi functions. This exponential Jacobi pseudospectral method is implemented to approximate solutions to high-order ordinary differential equations (ODEs) on semi-infinite intervals. The advantages of using the exponential Jacobi pseudospectral method over other techniques are discussed. Several numerical examples are presented to confirm the validity and applicability of the proposed method. Moreover, the obtained results are compared with those obtained using other techniques.
关键词：high-order ODEs ; exponential Jacobi functions ; operational matrix of differentiation ; pseudospectral method