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Journals / Afyon Kocatepe Üniversitesi Fen Bilimleri Dergisi / 2004 / Cilt: 4 - Sayı: 1-2

İki boyutlu diffüzyon denklemi için LOD yöntemi ile açık sonlu fark metodları üzerine

A Study on 9 point FTCS two-level finite-difference methods with LOD procedure for two-dimensional diffusion equation

Mustafa GÜLSU
Pages
135–145
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

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

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Finite-difference techniques based on Explicit method and 9-point forward time centered space (FTCS) method for one dimensional diffusion are used to solve the two-dimensional time dependent diffusion equation with boundary condition.
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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.
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Conclusion & Impact:The results of numerical testing shows that these schemes uses less central processor (CPU) time than the fully implicit schemes.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Finite-difference techniques based on Explicit method and 9-point forward time centered space (FTCS) method for one dimensional diffusion are used to solve the two-dimensional time dependent diffusion equation with boundary condition. 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 shows that these schemes uses less central processor (CPU) time than the fully implicit schemes.

Özet

Bu çalışmada bir boyutlu diffüzyon denklemi için Açık yöntem ve 9-Nokta ileri fark yöntemini temel alan sonlu fark teknikleri, iki boyutlu zaman bağımlı diffüzyon denklemini çözmek için kullanıldı. Yerel bir boyut (LOD) yöntemi iki boyutlu diffüzyon 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. (2022). İki boyutlu diffüzyon denklemi için LOD yöntemi ile açık sonlu fark metodları üzerine. Afyon Kocatepe Üniversitesi Fen Bilimleri Dergisi, Cilt: 4 - Sayı: 1-2, 135–145. https://ajindex.com/articles/429535

References (1)

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