![](/images/graphics-bg.png)
Application of Reproducing Kernel Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations
Joint Authors
al-Smadi, Mohammed
Abu Arqub, Omar
Momani, Shaher M.
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-09
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper investigates the numerical solution of nonlinear Fredholm-Volterra integro-differential equations using reproducing kernel Hilbert space method.
The solution ux is represented in the form of series in the reproducing kernel space.
In the mean time, the n-term approximate solution un(x) is obtained and it is proved to converge to the exact solution ux.
Furthermore, the proposed method has an advantage that it is possible to pick any point in the interval of integration and as well the approximate solution and its derivative will be applicable.
Numerical examples are included to demonstrate the accuracy and applicability of the presented technique.
The results reveal that the method is very effective and simple.
American Psychological Association (APA)
Abu Arqub, Omar& al-Smadi, Mohammed& Momani, Shaher M.. 2012. Application of Reproducing Kernel Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-502345
Modern Language Association (MLA)
Abu Arqub, Omar…[et al.]. Application of Reproducing Kernel Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations. Abstract and Applied Analysis No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-502345
American Medical Association (AMA)
Abu Arqub, Omar& al-Smadi, Mohammed& Momani, Shaher M.. Application of Reproducing Kernel Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-502345
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502345