文章基本信息

标题：Application of reproducing kernel Hilbert space method for solving second-order fuzzy Volterra integro-differential equations
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作者：Ghaleb N. Gumah ; Mohammad F. M. Naser ; Mohammed Al-Smadi 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：2018
卷号：2018
期号：1
页码：475
DOI：10.1186/s13662-018-1937-8
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this article, we propose a new method that determines an efficient numerical procedure for solving second-order fuzzy Volterra integro-differential equations in a Hilbert space. This method illustrates the ability of the reproducing kernel concept of the Hilbert space to approximate the solutions of second-order fuzzy Volterra integro-differential equations. Additionally, we discuss and derive the exact and approximate solutions in the form of Fourier series with effortlessly computable terms in the reproducing kernel Hilbert space W 2 3 [ a , b ] ⊕ W 2 . 3 [ a , b ] $W_,^" [ a,b ] \oplus W_,^{.3} [ a,b ]$ . The convergence of the method is proven and its exactness is illustrated by three numerical examples.
关键词：Reproducing kernel Hilbert space ; Complete orthonormal system ; Fuzzy Volterra integro-differential equation