Malaysian Journal of Mathematical Sciences, April 2017, Vol. 11(S)
Special Issue: The 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016)
On the Two-Point Boundary Value Problems using Variational-Fixed Point Iterative Scheme
Wadai, M. and Kilicman, A.
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
We developed a new scheme which is obtained by linking finite element, fixed point iterations and variational iteration technique known as
variational-fixed point iterative scheme for attacking higher order differential equations. The finite element method is use to obtain the first
approximation of VIM, while its the first order approximations is taken as starting value of fixed point iteration method, these sequence give an added advantage over the existing methods. The method is practically applicable to the experiment presented and comparisons were made with exact solution and other methods to demonstrate its reliability, comfortability as well as efficiency of the method.
Keywords: Variational iteration method, Fixed point iteration and Finite element method
