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Journals / Selçuk Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi / 2002 / Sayı: 19

İki boyutlu diffuzyon denklemi için yerel bir boyut ve Crank-Nicolson metodları üzerine

On a LOD and Crank-Nicolson methods for the two dimensional diffusion equation

MUSTAFA GÜLSU
Pages
71–79
DOI
—
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AI Summary & Key Takeaways

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

The results of numerical testing show that these schemes use less central processor (CPU) time than the fully implicit scheme.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Finite-difference techniques based on explicit method and Crank-Nicolson method for one dimensional diffusion are used to solve the two-dimensional time dependent diffusion equation with boundary conditions.
📊
Key Findings & Data:In these cases locally one-dimensional (LOD) techniques are used to extend the one-dimensional techniques to solve the two-dimensional problem.
💡
Conclusion & Impact:The results of numerical testing show that these schemes use less central processor (CPU) time than the fully implicit scheme.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Finite-difference techniques based on explicit method and Crank-Nicolson method for one dimensional diffusion are used to solve the two-dimensional time dependent diffusion equation with boundary conditions. In these cases locally one-dimensional (LOD) techniques are used to extend the one-dimensional techniques to solve the two-dimensional problem. The results of numerical testing show that these schemes use less central processor (CPU) time than the fully implicit scheme.

Özet

Bu çalışmada bir boyutlu diffuzyon denklemi için Açık yöntem ve Crank Nicolson yöntemini temel alan sonlu fark teknikleri, iki boyutlu zamana bağımlı diffuzyon denklemini çözmek için kullanıldı, yerel bir boyut(LOD) yöntemi iki boyutlu diffuzyon denklemini çözmek için genişletildi. Nümerik sonuçlar ile bu yöntemin kapalı yöntemlere göre daha az zaman (CPU) harcadığı gösterildi.

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Cite This Article

GÜLSU, M. (2002). İki boyutlu diffuzyon denklemi için yerel bir boyut ve Crank-Nicolson metodları üzerine. Selçuk Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi, Sayı: 19, 71–79. https://ajindex.com/articles/317686

References (6)

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