A new fourth-order embedded method based on the harmonic mean
In this paper we formulate an embedded method based on harmonic and arithmetic means of order 4. This method together with RK-Harmonic scheme may be used to estimate the solutions of initial value problems. The absolute stability region of this scheme is also studied and we conclude with a numerical...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Department of Mathematics, Faculty of Science
1998
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| Subjects: | |
| Online Access: | http://eprints.utm.my/2413/ http://eprints.utm.my/2413/1/YaacobNazeeruddin1998_NewFourth-OrderEmbeddedMethod.pdf |
| Summary: | In this paper we formulate an embedded method based on harmonic and arithmetic means of order 4. This method together with RK-Harmonic scheme may be used to estimate the solutions of initial value problems. The absolute stability region of this scheme is also studied and we conclude with a numerical example to justify the effectiveness of the method |
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