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On the two-point boundary value problems using variational-fixed point iterative scheme


Wadai, Mutah and Kilicman, Adem (2017) On the two-point boundary value problems using variational-fixed point iterative scheme. Malaysian Journal of Mathematical Sciences, 11 (spec. Apr.). pp. 137-160. ISSN 1823-8343; ESSN: 2289-750X


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.

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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Institute for Mathematical Research, Universiti Putra Malaysia
Notes: Special issue: The 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016)
Keywords: Variational iteration method; Fixed point iteration; Finite element method
Depositing User: Nabilah Mustapa
Date Deposited: 03 May 2017 04:28
Last Modified: 03 May 2017 04:41
URI: http://psasir.upm.edu.my/id/eprint/51920
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