Application of the Extended Cubic Bézier Interpolation Method to the Boundary Value Problems

In this study, linear second order differential equations with Dirichlet boundary conditions which are used in civil engineering, thermodynamics, electrostatics, fluid dynamics are considered and the extended cubic Bézier interpolation method is employed to approximate the solutions. The extended fo...

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Bibliographic Details
Published in:	2024 8th International Artificial Intelligence and Data Processing Symposium (IDAP) pp. 1 - 5
Main Authors:	Bulut, Vahide, Kirci, Ozlem, Caliskan, Ali
Format:	Conference Proceeding
Language:	English
Published:	IEEE 21-09-2024
Subjects:	Accuracy Boundary Value Problem Bézier curve Data processing Differential equations Electrostatics Fluid dynamics Interpolation Root mean square Shape Shape parameter Splines (mathematics) Thermodynamics
Online Access:	Get full text
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Summary:	In this study, linear second order differential equations with Dirichlet boundary conditions which are used in civil engineering, thermodynamics, electrostatics, fluid dynamics are considered and the extended cubic Bézier interpolation method is employed to approximate the solutions. The extended form contains three shape parameters which enable to get more accurate results without the necessity of increasing the degree of the curve. Based on the root mean square error, it is also observed that this method produce better approximations than cubic B-spline method.
DOI:	10.1109/IDAP64064.2024.10711150