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Journals / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 1

Numerical Solution of Bratu-type Equations by the Variational Iteration Method

B. BATİHA
Pages
23–29
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

Comparisons with the exact solutions reveal that VIM is very effective and convenient.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the variational iteration method (VIM) is applied to obtain approximate analytical solution of Bratu-type equations without any discretization.
📊
Key Findings & Data:In this paper, the variational iteration method (VIM) is applied to obtain approximate analytical solution of Bratu-type equations without any discretization.
💡
Conclusion & Impact:Comparisons with the exact solutions reveal that VIM is very effective and convenient.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Variational iteration method · Bratu’s problem · Boundary value problems

Abstract

In this paper, the variational iteration method (VIM) is applied to obtain approximate analytical solution of Bratu-type equations without any discretization. Comparisons with the exact solutions reveal that VIM is very effective and convenient.

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Cite This Article

BATİHA, B. (2022). Numerical Solution of Bratu-type Equations by the Variational Iteration Method. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 1, 23–29. https://ajindex.com/articles/530859

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