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Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2017 / Cilt: 7 - Sayı: 3

Numerical approach for solving time fractional diffusion equation

Mustafa GÜLSU
Dilara Altan KOÇ
Pages
281–287
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

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

Some figures and tables are included.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article one of the fractional partial differential equations was solved byfinite difference scheme based on five point and three point central spacemethod with discretization in time.
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Key Findings & Data:We use between the Caputo and theRiemann-Liouville derivative definition and the Grünwald-Letnikov operator forthe fractional calculus.
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Conclusion & Impact:Some figures and tables are included.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this article one of the fractional partial differential equations was solved byfinite difference scheme based on five point and three point central spacemethod with discretization in time. We use between the Caputo and theRiemann-Liouville derivative definition and the Grünwald-Letnikov operator forthe fractional calculus. The stability analysis of this scheme is examined by usingvon-Neumann method. A comparison between exact solutions and numericalsolutions is made. Some figures and tables are included.

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Cite This Article

GÜLSU, M., KOÇ, D. A. (2022). Numerical approach for solving time fractional diffusion equation. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 7 - Sayı: 3, 281–287. https://ajindex.com/articles/440656

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