Application of the Extended Cubic Bézier Interpolation Method to the Boundary Value Problems
8th International Artificial Intelligence and Data Processing Symposium, IDAP 2024, Malatya, Türkiye, 21 - 22 Eylül 2024, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Doi Numarası: 10.1109/idap64064.2024.10711150
- Basıldığı Şehir: Malatya
- Basıldığı Ülke: Türkiye
- Anahtar Kelimeler: Boundary Value Problem, Bézier curve, Interpolation, Shape parameter
- Kırklareli Üniversitesi Adresli: Evet
Özet
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.