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Journals / Journal of Engineering Technology and Applied Sciences / 2022 / Cilt: 7 - Sayı: 3

A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation

Melis ZORSAHİN GORGULU
Pages
185–194
Publication Date
2022-12-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The obtained results are compared with the previous ones to see the efficiency and accuracy of the proposed method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, a new algorithm is introduced for the numerical solution of equal width (EW) equation.
📊
Key Findings & Data:This algorithm is created by using the collocation finite element method based on decic B-spline functions for the space discretization of the EW equation and the Crank-Nicolson method for the time discretization of his equation.
💡
Conclusion & Impact:The obtained results are compared with the previous ones to see the efficiency and accuracy of the proposed method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Collocation method · Crank-Nicolson method · decic (tenth degree) B-spline function

Abstract

In this study, a new algorithm is introduced for the numerical solution of equal width (EW) equation. This algorithm is created by using the collocation finite element method based on decic B-spline functions for the space discretization of the EW equation and the Crank-Nicolson method for the time discretization of his equation. The obtained results are compared with the previous ones to see the efficiency and accuracy of the proposed method.

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Cite This Article

GORGULU, M. Z. (2022). A New Algorithm Based on the Decic (tenth degree) B-spline Functions for Numerical Solution of the Equal Width Equation. Journal of Engineering Technology and Applied Sciences, Cilt: 7 - Sayı: 3, 185–194. https://ajindex.com/articles/860518

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