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Journals / Hacettepe Journal of Mathematics and Statistics / 2023 / Cilt: 52 - Sayı: 2

Numerical solutions of Troesch and Duffing equations by Taylor wavelets

Gökçe ÖZALTUN
Sevin GÜMGÜM
Pages
292–302
Publication Date
2023-03-31
DOI
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AI Summary & Key Takeaways

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

Results show that the proposed method yields highly accurate solutions by using quite low degree polynomials.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this study is to obtain accurate numerical results for the Troesch and Duffing equations by using Taylor wavelets.
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Key Findings & Data:The effectiveness and accuracy of the applied method is illustrated by solving these problems for several variables.
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Conclusion & Impact:Results show that the proposed method yields highly accurate solutions by using quite low degree polynomials.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Taylor wavelets · Troesch equation · Duffing equation

Abstract

The aim of this study is to obtain accurate numerical results for the Troesch and Duffing equations by using Taylor wavelets. Important features of the method include easy implementation and simple calculation. The effectiveness and accuracy of the applied method is illustrated by solving these problems for several variables. One of the important variable is the resolution parameter which enables to use low degree polynomials and decrease the computational cost. Results show that the proposed method yields highly accurate solutions by using quite low degree polynomials.

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Cite This Article

ÖZALTUN, G., GÜMGÜM, S. (2023). Numerical solutions of Troesch and Duffing equations by Taylor wavelets. Hacettepe Journal of Mathematics and Statistics, Cilt: 52 - Sayı: 2, 292–302. https://ajindex.com/articles/886280

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