Header menu link for other important links
X
Application of reproducing kernel method for solving nonlinear fredholm-volterra integrodifferential equations
O. Abu Arqub, M. Al-Smadi,
Published in
2012
Volume: 2012
   
Abstract
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 u n(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. © 2012 Omar Abu Arqub et al.
About the journal
JournalAbstract and Applied Analysis
ISSN10853375