Solutions of integral equations via Taylor series
作者:
SHUH-CHUAN TSAY,
TSU-TIAN LEE,
期刊:
International Journal of Control
(Taylor Available online 1986)
卷期:
Volume 44,
issue 3
页码: 701-709
ISSN:0020-7179
年代: 1986
DOI:10.1080/00207178608933628
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The Taylor operational matrix of integration and the Taylor product operational matrix are introduced. These two operational matrices are applied to approximation of solutions of Fredholm and Volterra integral equations. The proposed method reduces solution of integral equations to the successive solution of a set of linear algebraic equations in matrix form. Owing to the simplicity of the operational matrix of integration, and the product operational matrix of the Taylor series, the algorithms derived possess considerable computational advantages over the orthogonal-polynomial approximation, provided that both input and output are analytic functions oft.
点击下载:
PDF (169KB)
返 回