Solution of Multi-Dimensional Fredholm Equations Using Legendre Scaling Functions
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
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. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.
Description
Singh, Harendra/0000-0003-1676-9992
ORCID
Keywords
Legendre Scaling Functions, Multi-Dimensional Fredholm Integral Equations, Error Analysis, Numerical Stability, numerical stability, Systems of nonlinear integral equations, Theoretical approximation of solutions to integral equations, Fredholm integral equations, multi-dimensional Fredholm integral equations, Numerical methods for integral equations, error analysis, Legendre scaling functions
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Singh, Harendra...et al. (2020). "Solution of multi-dimensional Fredholm equations using Legendre scaling functions", Applied Numerical Mathematics, Vol. 150, pp. 313-324.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
13
Source
Applied Numerical Mathematics
Volume
150
Issue
Start Page
313
End Page
324
PlumX Metrics
Citations
CrossRef : 14
Scopus : 14
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Mendeley Readers : 4
SCOPUS™ Citations
16
checked on Feb 25, 2026
Web of Science™ Citations
12
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Page Views
3
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