Universiti Teknologi Malaysia Institutional Repository

A new non-linear multistep method based on centroidal mean in solving initial value problems

Yaacob, Nazeeruddin and Teh, Yuan Ying (2009) A new non-linear multistep method based on centroidal mean in solving initial value problems. Matematika, 25 (2). pp. 167-176. ISSN 0127-8274

[img] PDF (Full text) - Published Version
Restricted to Repository staff only

222Kb
[img] HTML - Published Version
125Kb

Abstract

A new 2-step fourth order implicit non-linear multistep method based on centroidal mean is considered in this paper. The new method is tested on some test problems; and numerical results show that the new method is able to produce acceptable numerical solutions for these test problems. Comparisons in terms of numerical accuracy between the new method and the classical 2-step Adams-Moulton method are carried out as well. Numerical experiments show that our new method performs better than the classical 2-step Adams-Moulton method in solving these test problems

Item Type:Article
Uncontrolled Keywords:Initial value problems, non-linear multistep method, centroidal mean Adams-Moulton method, 3-stage fourth order Lobatto IIIC method
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:3027
Deposited By: Ms Zalinda Shuratman
Deposited On:16 May 2007 07:31
Last Modified:28 Nov 2013 01:35

Repository Staff Only: item control page