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Solution of multi-dimensional Fredholm equations using Legendre scaling functions.

Authors :
Singh, Harendra
Baleanu, D.
Srivastava, H.M.
Dutta, Hemen
Jha, Navin Kumar
Source :
Applied Numerical Mathematics. Apr2020, Vol. 150, p313-324. 12p.
Publication Year :
2020

Abstract

In this article, we construct approximate solution to multi-dimensional Fredholm integral equations of second kind using n -dimensional Legendre scaling functions. Error analysis of the problem is provided in the L 2 sense. It is shown that our numerical method is numerically stable. Some examples are discussed based on proposed method to show the importance and accuracy of the proposed numerical method. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01689274
Volume :
150
Database :
Academic Search Index
Journal :
Applied Numerical Mathematics
Publication Type :
Academic Journal
Accession number :
140920266
Full Text :
https://doi.org/10.1016/j.apnum.2019.10.004