Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions
Joint Authors
Chen, Wen
Avazzadeh, Zakieh
Heydari, Mohammad
Loghmani, G. B.
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We solve some different type of Urysohn integral equations by using the radial basis functions.
These types include the linear and nonlinear Fredholm, Volterra, and mixed Volterra-Fredholm integral equations.
Our main aim is to investigate the rate of convergence to solve these equations using the radial basis functions which have normic structure that utilize approximation in higher dimensions.
Of course, the use of this method often leads to ill-posed systems.
Thus we propose an algorithm to improve the results.
Numerical results show that this method leads to the exponential convergence for solving integral equations as it was already confirmed for partial and ordinary differential equations.
American Psychological Association (APA)
Avazzadeh, Zakieh& Heydari, Mohammad& Chen, Wen& Loghmani, G. B.. 2014. Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1039756
Modern Language Association (MLA)
Avazzadeh, Zakieh…[et al.]. Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1039756
American Medical Association (AMA)
Avazzadeh, Zakieh& Heydari, Mohammad& Chen, Wen& Loghmani, G. B.. Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1039756
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039756