Two-point explicit and implicit block multistep methods for solving special second order ordinary differential equations
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...
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| Format: | Article |
| Language: | English |
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Research India Publications
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/63617/ http://psasir.upm.edu.my/id/eprint/63617/1/Two-point%20explicit%20and%20implicit%20block%20multistep%20methods%20for%20solving%20special%20second%20order%20ordinary%20differential%20equations.pdf |
| _version_ | 1848854831567994880 |
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| author | Mansor, Aini Fadhlina Ismail, Fudziah Senu, Norazak |
| author_facet | Mansor, Aini Fadhlina Ismail, Fudziah Senu, Norazak |
| author_sort | Mansor, Aini Fadhlina |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T11:16:07Z |
| format | Article |
| id | upm-63617 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:16:07Z |
| publishDate | 2017 |
| publisher | Research India Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-636172018-11-05T03:32:28Z http://psasir.upm.edu.my/id/eprint/63617/ Two-point explicit and implicit block multistep methods for solving special second order ordinary differential equations Mansor, Aini Fadhlina Ismail, Fudziah Senu, Norazak 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. Research India Publications 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/63617/1/Two-point%20explicit%20and%20implicit%20block%20multistep%20methods%20for%20solving%20special%20second%20order%20ordinary%20differential%20equations.pdf 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 |
| spellingShingle | Mansor, Aini Fadhlina Ismail, Fudziah Senu, Norazak Two-point explicit and implicit block multistep methods for solving special second order ordinary differential equations |
| title | Two-point explicit and implicit block multistep methods for solving special second order ordinary differential equations |
| title_full | Two-point explicit and implicit block multistep methods for solving special second order ordinary differential equations |
| title_fullStr | Two-point explicit and implicit block multistep methods for solving special second order ordinary differential equations |
| title_full_unstemmed | Two-point explicit and implicit block multistep methods for solving special second order ordinary differential equations |
| title_short | Two-point explicit and implicit block multistep methods for solving special second order ordinary differential equations |
| title_sort | two-point explicit and implicit block multistep methods for solving special second order ordinary differential equations |
| url | http://psasir.upm.edu.my/id/eprint/63617/ http://psasir.upm.edu.my/id/eprint/63617/1/Two-point%20explicit%20and%20implicit%20block%20multistep%20methods%20for%20solving%20special%20second%20order%20ordinary%20differential%20equations.pdf |