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Two-point explicit and implicit block multistep methods for solving special second order ordinary differential equations


Citation

Mansor, Aini Fadhlina and Ismail, Fudziah and Senu, Norazak (2017) Two-point explicit and implicit block multistep methods for solving special second order ordinary differential equations. International Journal of Applied Engineering Research, 12 (24). 14176 - 14189. ISSN 0973-4562; ESSN: 1087-1090

Abstract

In this paper two-point implicit and explicit block multistep methods have been derived for solving special second order ordinary differential equation (ODE). The solution of initial value problem is approximated at two points simultaneously. The methods of step number k =3 and k =5 are derived and implemented by using predictor-corrector technique. The numerical results show that the new methods give a promising results compared to the existing methods based on several tested problems.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Research India Publications
Keywords: Multistep methods; Block methods; Special second order ODEs
Depositing User: Mohd Hafiz Che Mahasan
Date Deposited: 05 Nov 2018 03:32
Last Modified: 05 Nov 2018 03:32
URI: http://psasir.upm.edu.my/id/eprint/63617
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