A Jacobi-Collocation Method for Second Kind Volterra Integral Equations with a Smooth Kernel
Joint Authors
Guo, Hongfeng
Zhang, Xin
Cai, Haotao
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-17
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The purpose of this paper is to provide a Jacobi-collocation method for solving second kind Volterra integral equations with a smooth kernel.
This method leads to a fully discrete integral operator.
First, it is shown that the fully discrete integral operator is stable in both L∞ and weighted L2 norms.
Then, the proposed approach is proved to arrive at an optimal (the most possible) convergent order in both norms.
One numerical example demonstrates the efficiency and accuracy of the proposed method.
American Psychological Association (APA)
Guo, Hongfeng& Cai, Haotao& Zhang, Xin. 2014. A Jacobi-Collocation Method for Second Kind Volterra Integral Equations with a Smooth Kernel. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1034093
Modern Language Association (MLA)
Guo, Hongfeng…[et al.]. A Jacobi-Collocation Method for Second Kind Volterra Integral Equations with a Smooth Kernel. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1034093
American Medical Association (AMA)
Guo, Hongfeng& Cai, Haotao& Zhang, Xin. A Jacobi-Collocation Method for Second Kind Volterra Integral Equations with a Smooth Kernel. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1034093
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034093