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Journals / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2017 / Cilt: 13 - Sayı: 1

An exponential finite difference method based on Padé approximation

Bilge İNAN
Pages
71–80
Publication Date
2022-10-12
DOI
—
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AI Summary & Key Takeaways

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

Accuracy of the present method is demonstrated by solving test problems and comparing numerical results with exact solution for different values of Reynolds' number

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper reports a new technique of forming improved exponential finite difference solution of the one dimensional Burgers' equation.
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Key Findings & Data:The technique is called explicit exponential finite difference method based on Padé approximation.
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Conclusion & Impact:Accuracy of the present method is demonstrated by solving test problems and comparing numerical results with exact solution for different values of Reynolds' number
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This paper reports a new technique of forming improved exponential finite difference solution of the one dimensional Burgers' equation. The technique is called explicit exponential finite difference method based on Padé approximation. The main purpose of the paper is to improve the exponential finite difference method and define an alternative method for the solution of the Burgers' equation. The advantage of the present method is reduced the computation cost to other exponential methods for solving the Burgers' equation. Accuracy of the present method is demonstrated by solving test problems and comparing numerical results with exact solution for different values of Reynolds' number

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Cite This Article

İNAN, B. (2022). An exponential finite difference method based on Padé approximation. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 13 - Sayı: 1, 71–80. https://ajindex.com/articles/472370

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