Numerical solutions of ordinary differential equations using Spline-Integral Operator

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...

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Veröffentlicht in:	arXiv.org 2024-09
Hauptverfasser:	Salgado, Gustavo H O, Romanelli, João P R
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary value problems Differential equations Exact solutions Mathematical analysis Numerical methods Operators (mathematics) Stability analysis
Online-Zugang:	Volltext
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