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Journals / Bitlis Eren Üniversitesi Fen Bilimleri Dergisi / 2021 / Cilt: 10 - Sayı: 4

Solution of Third Order Partial Differential Equation by Homotopy Perturbation Method

Üçüncü Mertebeden Kısmi Diferansiyel Denklemin Homotopy Pertürbasyon Metodu ile Çözümü

Mahmut MODANLI
Hüseyin EŞ
Pages
1527–1534
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

The graph of the exact solution is obtained using the Matlab program.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the solution of the third-order partial differential equation given depending on the initial values is analyzed by homotopy perturbation method.
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Key Findings & Data:An example problem is used to test the method.
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Conclusion & Impact:The graph of the exact solution is obtained using the Matlab program.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, the solution of the third-order partial differential equation given depending on the initial values is analyzed by homotopy perturbation method. An example problem is used to test the method. It is seen that the solution obtained on this example problem was equivalent to the exact solution. The graph of the exact solution is obtained using the Matlab program.

Özet

Bu çalışmada, başlangıç değerlerine bağlı olarak verilen üçüncü mertebeden kısmi diferansiyel denklemin çözümü homotopy pertürbasyon metodu ile incelendi. Yöntemi test etmek için bir örnek problem kullanıldı. Bu örnek problem üzerinde elde edilen çözümün tam çözüme denk olduğu görüldü. Matlab programı kullanılarak tam çözümün grafiği elde edildi.

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Cite This Article

MODANLI, M., EŞ, H. (2022). Solution of Third Order Partial Differential Equation by Homotopy Perturbation Method. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, Cilt: 10 - Sayı: 4, 1527–1534. https://ajindex.com/articles/466658

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References (1)

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