Numerical solutions of ordinary differential equations using Spline-Integral Operator
| Autor: | Salgado, Gustavo H. O., Romanelli, João P. R. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this work, we introduce a novel numerical method for solving initial value problems associated with a given differential. Our approach utilizes a spline approximation of the theoretical solution alongside the integral formulation of the analytical solution. Furthermore, we offer a rigorous proof of the method's order and provide a comprehensive stability analysis. Additionally, we showcase the effectiveness method through some examples, comparing with Taylor's methods of same order. Comment: 13 pages, 5 figures |
| Databáze: | arXiv |
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