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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 6

Fractal quintic spline method for nonlinear boundary-value problems

S. Natesan
N. Balasubramani
M. Guru Prem Prasad
Pages
1885–1903
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Numerical examples are provided to show practical usefulness of the method and numerical results are compared with the existing numerical methods.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, numerical solutions of nonlinear boundary-value problems are obtained using fractal quintic spline.
📊
Key Findings & Data:Convergence analysis of the proposed method is also established.
💡
Conclusion & Impact:Numerical examples are provided to show practical usefulness of the method and numerical results are compared with the existing numerical methods.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:fractal quintic spline · nonlinear boundary-value problem · quasilinearization

Abstract

In this article, numerical solutions of nonlinear boundary-value problems are obtained using fractal quintic spline. Convergence analysis of the proposed method is also established. Proposed method has fourth-order convergence. Numerical examples are provided to show practical usefulness of the method and numerical results are compared with the existing numerical methods.

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Cite This Article

Natesan, S., Balasubramani, N., Prasad, M. G. P. (2022). Fractal quintic spline method for nonlinear boundary-value problems. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 6, 1885–1903. https://ajindex.com/articles/529557

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