A class of numerical methods for autonomous initial value problems
In this paper we introduce a class of explicit numerical methods for approximating the solutions of scalar initial value problems for first order differential equations, using a nonlinear interpolation formula. We show that the methods generated in this way can be identified as explicit Rung...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2012-01-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/970 |
| Summary: | In this paper we introduce a class of explicit numerical methods for
approximating the solutions of scalar initial value problems for
first order differential equations, using a nonlinear interpolation
formula. We show that the methods generated in this way can be
identified as explicit Runge-Kutta methods and we analyze some
particular cases. Finally, numerical examples are provided. |
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| ISSN: | 2457-6794 2501-059X |