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Journals / New Trends in Mathematical Sciences / 2017 / Cilt: 5 Sayı: 4

The approximate solutions of fractional gas dynamics equations by means of fractional natural decomposition method

Birol Ibis(National Defence University)
Pages
271–279
Publication Date
2017-10-01
DOI
—
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AI Summary & Key Takeaways

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

Some test examples are given to demonstrate the efficiency and accuracy of the FNDM.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: In this work, a new practical method, which is named by the Fractional Natural Decomposition Method (FNDM), is proposed to obtain the approximate analytical solutions of fractional gas dynamics equations.
📊
Key Findings & Data:The FNDM is a mixture of the Natural Transform Method and the Adomian Decomposition Method.
💡
Conclusion & Impact:Some test examples are given to demonstrate the efficiency and accuracy of the FNDM.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fractional gas dynamics equations · The Fractional Natural Decomposition Method (FNDM) · Caputo Fractional Derivative

Abstract

 In this work, a new practical method, which is named by the Fractional Natural Decomposition Method (FNDM), is proposed to obtain the approximate analytical solutions of fractional gas dynamics equations. The FNDM is a mixture of the Natural Transform Method and the Adomian Decomposition Method. In this method, the fractional derivatives are considered as Caputo sense and the nonlinear terms are determined by virtue of Adomian polynomials. Some test examples are given to demonstrate the efficiency and accuracy of the FNDM.

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Cite This Article

Ibis, B. (2017). The approximate solutions of fractional gas dynamics equations by means of fractional natural decomposition method. New Trends in Mathematical Sciences, Cilt: 5 Sayı: 4, 271–279. https://ajindex.com/articles/1003693

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