Equal order block methods for solving second order order ordinary differential equations
In view of the fact that block methods are adequate to numerically approximate second order ordinary differential equations, which can be developed with or without the presence of higher derivatives, although still possessing the same order, we introduce block methods of equal order with and without...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Pushpa Publishing House
2018
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| Subjects: | |
| Online Access: | https://repo.uum.edu.my/id/eprint/27933/1/FEJAM%2099%204%202018%20309%20332.pdf |
| Summary: | In view of the fact that block methods are adequate to numerically approximate second order ordinary differential equations, which can be developed with or without the presence of higher derivatives, although still possessing the same order, we introduce block methods of equal order with and without the presence of higher derivatives using the linear block approach. The resulting block methods are employed to solve the second order ordinary differential equations. The accuracy of the block methods is investigated with respect to their absolute error. It is found that the block method with the presence of higher derivative has better accuracy. |
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