Implementation of 2-point 2-step methods for the solution of first order ODEs.
In this paper the 2 point 2 step methods (2PG, M2PG, M2PF) for solving system of first order ordinary differential equations are proposed. These methods at each step will approximate the solutions of initial value problems at two points simultaneously using variable step size. In addition, the stabili...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
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Hikari Ltd
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15118/1/Implementation%20of%202.pdf |
| _version_ | 1825945559505043456 |
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| author | Mehrkanoon, S. Abdul Majid, Zanariah Suleiman, Mohamed |
| author_facet | Mehrkanoon, S. Abdul Majid, Zanariah Suleiman, Mohamed |
| author_sort | Mehrkanoon, S. |
| collection | UPM |
| description | In this paper the 2 point 2 step methods (2PG, M2PG, M2PF) for solving system of first order ordinary differential equations are proposed. These methods at each step will approximate the solutions of initial value problems at two points simultaneously using variable step size. In addition, the stability of the proposed method are discussed. Examples
are presented to illustrate the computational aspect of these methods. |
| first_indexed | 2024-03-06T07:33:24Z |
| format | Article |
| id | upm.eprints-15118 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T07:33:24Z |
| publishDate | 2010 |
| publisher | Hikari Ltd |
| record_format | dspace |
| spelling | upm.eprints-151182015-10-21T03:32:21Z http://psasir.upm.edu.my/id/eprint/15118/ Implementation of 2-point 2-step methods for the solution of first order ODEs. Mehrkanoon, S. Abdul Majid, Zanariah Suleiman, Mohamed In this paper the 2 point 2 step methods (2PG, M2PG, M2PF) for solving system of first order ordinary differential equations are proposed. These methods at each step will approximate the solutions of initial value problems at two points simultaneously using variable step size. In addition, the stability of the proposed method are discussed. Examples are presented to illustrate the computational aspect of these methods. Hikari Ltd 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15118/1/Implementation%20of%202.pdf Mehrkanoon, S. and Abdul Majid, Zanariah and Suleiman, Mohamed (2010) Implementation of 2-point 2-step methods for the solution of first order ODEs. Applied Mathematical Sciences, 4 (7). pp. 305-316. ISSN 1312-885X; ESSN: 1314-7552 http://www.m-hikari.com/ams/ English |
| spellingShingle | Mehrkanoon, S. Abdul Majid, Zanariah Suleiman, Mohamed Implementation of 2-point 2-step methods for the solution of first order ODEs. |
| title | Implementation of 2-point 2-step methods for the solution of first order ODEs. |
| title_full | Implementation of 2-point 2-step methods for the solution of first order ODEs. |
| title_fullStr | Implementation of 2-point 2-step methods for the solution of first order ODEs. |
| title_full_unstemmed | Implementation of 2-point 2-step methods for the solution of first order ODEs. |
| title_short | Implementation of 2-point 2-step methods for the solution of first order ODEs. |
| title_sort | implementation of 2 point 2 step methods for the solution of first order odes |
| url | http://psasir.upm.edu.my/id/eprint/15118/1/Implementation%20of%202.pdf |
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