Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Copyright © 2009 Ahmed Alsaedi and Bashir Ahmad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A generalized quasilinearization technique is developed to obtain a sequence of approximate solutions converging monotonically and quadratically
to a unique solution of a boundary value problem involving Duffing type
nonlinear integro-differential equation with integral boundary conditions.
The convergence of order for the sequence of iterates is also established. It is found that the work presented in this paper not only
produces new results but also yields several old results in certain limits.