An explicit two-step rational method for the numerical solution of first order initial value problem
An explicit two-step, second order rational method for the numerical solution of first order initial value problems is introduced in this paper. Existing rational multistep methods required the computations of higher derivatives from a given initial value problem.However, the new two-step rational m...
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| Main Author: | |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2014
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| Subjects: | |
| Online Access: | http://repo.uum.edu.my/12693/1/An%20e.pdf http://repo.uum.edu.my/12693/ http://dx.doi.org/10.1063/1.4887571 |
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| Summary: | An explicit two-step, second order rational method for the numerical solution of first order initial value problems is introduced in this paper. Existing rational multistep methods required the computations of higher derivatives from a given initial value problem.However, the new two-step rational method does not require any computation of these higher derivatives, and thus save up some computational cost. Numerical results showed that the new rational multistep method and existing rational multistep method are found to have comparable accuracy in solving first order initial value problems. |
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