Odd Order Integrator with Two Complex Functions Control Parameters for Solving Systems of Initial Value Problems
In this study, a numerical integrator that is based on a nonlinear interpolant, for the local representation of the theoretical solution is presented. The resulting integrator aims to solve second and higher-order initial value problems as systems of first-order initial value problems. The method i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Nigerian Society of Physical Sciences
2022-12-01
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| Series: | Journal of Nigerian Society of Physical Sciences |
| Subjects: | |
| Online Access: | https://journal.nsps.org.ng/index.php/jnsps/article/view/968 |
| Summary: | In this study, a numerical integrator that is based on a nonlinear interpolant, for the local representation of the theoretical solution is presented. The resulting integrator aims to solve second and higher-order initial value problems as systems of first-order initial value problems. The method is designed to have two complex functions as control parameters. The control parameters may become real, depending on the nature of the second-order initial value problems to be solved. The generalization and properties of the scheme are also presented.
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| ISSN: | 2714-2817 2714-4704 |