Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type
Joint Authors
al-Smadi, Mohammed
Komashynska, Iryna Volodymyrivna
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-27
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We present an efficient iterative method for solving a class of nonlinear second-order Fredholm integrodifferential equations associated with different boundary conditions.
A simple algorithm is given to obtain the approximate solutions for this type of equations based on the reproducing kernel space method.
The solution obtained by the method takes form of a convergent series with easily computable components.
Furthermore, the error of the approximate solution is monotone decreasing with the increasing of nodal points.
The reliability and efficiency of the proposed algorithm are demonstrated by some numerical experiments.
American Psychological Association (APA)
Komashynska, Iryna Volodymyrivna& al-Smadi, Mohammed. 2014. Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-473232
Modern Language Association (MLA)
Komashynska, Iryna Volodymyrivna& al-Smadi, Mohammed. Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-473232
American Medical Association (AMA)
Komashynska, Iryna Volodymyrivna& al-Smadi, Mohammed. Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-473232
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473232