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Journals / Sakarya University Journal of Science / 2017 / Volume: 21 Issue: 6

Obtaining the solution of Benney-Luke Equation by Laplace and adomian decomposition methods

Laplace ve adomian ayrışma metodları ile Benney-Luke denkleminin çözümünü elde etme

Hami Gündoğdu(SAKARYA ÜNİVERSİTESİ)
Ömer Faruk Gözükızıl(SAKARYA ÜNİVERSİTESİ)
Pages
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Publication Date
2017-12-01
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AI Summary & Key Takeaways

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

Then, the solution yielding the given initial conditions is gained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we consider the inhomogeneous Benney-Luke equation with its initial conditions.
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Key Findings & Data:Laplace Decomposition Method and Adomian Decomposition Method are applied to this equation.
💡
Conclusion & Impact:Then, the solution yielding the given initial conditions is gained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Laplace Decomposition Method · Adomian Decomposition Method · Benney-Luke Equation

Abstract

In this study, we consider the inhomogeneous Benney-Luke equation with its initial conditions. Laplace Decomposition Method and Adomian Decomposition Method are applied to this equation. Then, the solution yielding the given initial conditions is gained.

Özet

Bu çalışmada, başlangıç değerleri verilen homojen olmayan Benney-Luke denklemini ele aldık. Laplace ve Adomian ayrışma metotları bu denkleme uygulanmıştır. Daha sonra, bu denklemin verilen başlangıç değerini sağlayan çözümü elde edilmiştir.

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Cite This Article

Gündoğdu, H., Gözükızıl, Ö. F. (2017). Obtaining the solution of Benney-Luke Equation by Laplace and adomian decomposition methods. Sakarya University Journal of Science, Volume: 21 Issue: 6. https://doi.org/10.16984/saufenbilder.340379

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