Solutions to Uncertain Volterra Integral Equations by Fitted Reproducing Kernel Hilbert Space Method
Joint Authors
Moaddy, K.
al-Smadi, Mohammed
Hashim, Ishak
Gumah, Ghaleb
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-07-13
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We present an efficient modern strategy for solving some well-known classes of uncertain integral equations arising in engineering and physics fields.
The solution methodology is based on generating an orthogonal basis upon the obtained kernel function in the Hilbert space W 2 1 a , b in order to formulate the analytical solutions in a rapidly convergent series form in terms of their α -cut representation.
The approximation solution is expressed by n -term summation of reproducing kernel functions and it is convergent to the analytical solution.
Our investigations indicate that there is excellent agreement between the numerical results and the RKHS method, which is applied to some computational experiments to demonstrate the validity, performance, and superiority of the method.
The present work shows the potential of the RKHS technique in solving such uncertain integral equations.
American Psychological Association (APA)
Gumah, Ghaleb& Moaddy, K.& al-Smadi, Mohammed& Hashim, Ishak. 2016. Solutions to Uncertain Volterra Integral Equations by Fitted Reproducing Kernel Hilbert Space Method. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1108583
Modern Language Association (MLA)
Gumah, Ghaleb…[et al.]. Solutions to Uncertain Volterra Integral Equations by Fitted Reproducing Kernel Hilbert Space Method. Journal of Function Spaces No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1108583
American Medical Association (AMA)
Gumah, Ghaleb& Moaddy, K.& al-Smadi, Mohammed& Hashim, Ishak. Solutions to Uncertain Volterra Integral Equations by Fitted Reproducing Kernel Hilbert Space Method. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1108583
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108583