A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly
An alternative block method for solving fifth-order initial value problems (IVPs) is proposed with an adaptive strategy of implementing variable step size. The derived method is designed to compute four solutions simultaneously without reducing the problem to a system of first-order IVPs. To validat...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2016/9823147 |
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| _version_ | 1832559816066727936 |
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| author | Nazreen Waeleh Zanariah Abdul Majid |
| author_facet | Nazreen Waeleh Zanariah Abdul Majid |
| author_sort | Nazreen Waeleh |
| collection | DOAJ |
| description | An alternative block method for solving fifth-order initial value problems (IVPs) is proposed with an adaptive strategy of implementing variable step size. The derived method is designed to compute four solutions simultaneously without reducing the problem to a system of first-order IVPs. To validate the proposed method, the consistency and zero stability are also discussed. The improved performance of the developed method is demonstrated by comparing it with the existing methods and the results showed that the 4-point block method is suitable for solving fifth-order IVPs. |
| format | Article |
| id | doaj-art-2f2aad64277041efa2a3851fb5039a54 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2f2aad64277041efa2a3851fb5039a542025-02-03T01:29:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252016-01-01201610.1155/2016/98231479823147A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations DirectlyNazreen Waeleh0Zanariah Abdul Majid1Faculty of Electronic & Computer Engineering, Universiti Teknikal Malaysia Melaka (UTeM), 76100 Melaka, MalaysiaDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaAn alternative block method for solving fifth-order initial value problems (IVPs) is proposed with an adaptive strategy of implementing variable step size. The derived method is designed to compute four solutions simultaneously without reducing the problem to a system of first-order IVPs. To validate the proposed method, the consistency and zero stability are also discussed. The improved performance of the developed method is demonstrated by comparing it with the existing methods and the results showed that the 4-point block method is suitable for solving fifth-order IVPs.http://dx.doi.org/10.1155/2016/9823147 |
| spellingShingle | Nazreen Waeleh Zanariah Abdul Majid A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly International Journal of Mathematics and Mathematical Sciences |
| title | A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly |
| title_full | A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly |
| title_fullStr | A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly |
| title_full_unstemmed | A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly |
| title_short | A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly |
| title_sort | 4 point block method for solving higher order ordinary differential equations directly |
| url | http://dx.doi.org/10.1155/2016/9823147 |
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