文章基本信息

标题：Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type
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作者：Babak Shiri ; Sedaghat Shahmorad ; Gholamreza Hojjati 等
期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2013
卷号：23
期号：2
DOI：10.2478/amcs-2013-0026
出版社：De Gruyter Open
摘要：In this paper, we deal with a system of integral algebraic equations of the Hessenberg type. Using a new index definition, the existence and uniqueness of a solution to this system are studied. The well-known piecewise continuous collocation methods are used to solve this system numerically, and the convergence properties of the perturbed piecewise continuous collocation methods are investigated to obtain the order of convergence for the given numerical methods. Finally, some numerical experiments are provided to support the theoretical results
关键词：piecewise continuous collocations methods; Volterra integral equations; integral algebraic equations