3-Point implicit block multistep method for solution of first order ODEs.
A new 3-point three step method is developed for solving system of first order ordinary differential equations (ODEs). This method at each step approximates the solution at three points simultaneously using variable step size. The method is in a simple form as Adams Moulton method with the specific...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English English |
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2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25312/1/3.pdf |
| _version_ | 1796970733884145664 |
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| author | Mehrkanoon, S. Abdul Majid, Zanariah Suleiman, Mohamed Othman, Khairil Iskandar Ibrahim, Zarina Bibi |
| author_facet | Mehrkanoon, S. Abdul Majid, Zanariah Suleiman, Mohamed Othman, Khairil Iskandar Ibrahim, Zarina Bibi |
| author_sort | Mehrkanoon, S. |
| collection | UPM |
| description | A new 3-point three step method is developed for solving system of first order ordinary differential equations (ODEs). This method at each step approximates the solution at three points simultaneously using variable step size. The method is in a simple form as Adams Moulton method
with the specific aim of gaining efficiency. The Gauss-Seidel style is used for the implementation of the proposed method in PE(CE) mode. The stability regions of the method are discussed. Numerical results show that the proposed method is more efficient than some existent block
method, in terms of accuracy, total number of steps and function calls and execution times.
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| first_indexed | 2024-03-06T08:02:27Z |
| format | Article |
| id | upm.eprints-25312 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T08:02:27Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | upm.eprints-253122015-10-09T07:31:23Z http://psasir.upm.edu.my/id/eprint/25312/ 3-Point implicit block multistep method for solution of first order ODEs. Mehrkanoon, S. Abdul Majid, Zanariah Suleiman, Mohamed Othman, Khairil Iskandar Ibrahim, Zarina Bibi A new 3-point three step method is developed for solving system of first order ordinary differential equations (ODEs). This method at each step approximates the solution at three points simultaneously using variable step size. The method is in a simple form as Adams Moulton method with the specific aim of gaining efficiency. The Gauss-Seidel style is used for the implementation of the proposed method in PE(CE) mode. The stability regions of the method are discussed. Numerical results show that the proposed method is more efficient than some existent block method, in terms of accuracy, total number of steps and function calls and execution times. 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25312/1/3.pdf Mehrkanoon, S. and Abdul Majid, Zanariah and Suleiman, Mohamed and Othman, Khairil Iskandar and Ibrahim, Zarina Bibi (2012) 3-Point implicit block multistep method for solution of first order ODEs. Bulletin of the Malaysian Mathematical Sciences Society, 35 (2A). pp. 547-555. ISSN 0126-6705 English |
| spellingShingle | Mehrkanoon, S. Abdul Majid, Zanariah Suleiman, Mohamed Othman, Khairil Iskandar Ibrahim, Zarina Bibi 3-Point implicit block multistep method for solution of first order ODEs. |
| title | 3-Point implicit block multistep method for solution of first order ODEs. |
| title_full | 3-Point implicit block multistep method for solution of first order ODEs. |
| title_fullStr | 3-Point implicit block multistep method for solution of first order ODEs. |
| title_full_unstemmed | 3-Point implicit block multistep method for solution of first order ODEs. |
| title_short | 3-Point implicit block multistep method for solution of first order ODEs. |
| title_sort | 3 point implicit block multistep method for solution of first order odes |
| url | http://psasir.upm.edu.my/id/eprint/25312/1/3.pdf |
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