CALCULATION SCHEMES EFFICIENCY FOR INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS BASED ON THE DIFFERENTIAL-TAYLOR TRANSFORMATION
The theoretical evaluation of the effectiveness of explicit computational schemes for numerical solution of the Cauchy problem for ordinary differential equations are given, which are based on differential-taylor transformations in comparison with the schemes that have been developed on the basis of...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
National Defence University of Ukraine named after Ivan Cherniakhovsky
2014-09-01
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| Series: | Sučasnì Informacìjnì Tehnologìï u Sferì Bezpeki ta Oboroni |
| Subjects: | |
| Online Access: | http://sit.nuou.org.ua/article/view/34642 |
| Summary: | The theoretical evaluation of the effectiveness of explicit computational schemes for numerical solution of the Cauchy problem for ordinary differential equations are given, which are based on differential-taylor transformations in comparison with the schemes that have been developed on the basis of the Adams predictor-corrector scheme. The effectiveness of the computational schemes is evaluated by comparing the required computational costs while maintaining a specified accuracy of the calculation. On the basis of these estimates practical recommendations on the effectiveness of the method of differential-taylor transformations for numerical integration of ordinary differential equations. It is shown that the overall efficiency of the method of differential-taylor transformation increases with an increase in the required accuracy of integration (reducing local integration error) ordinary differential equation. |
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| ISSN: | 2311-7249 2410-7336 |