Journals / Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2018 / Cilt: 20 - Sayı: 3

Solving fractional difference equations by discrete Adomian decomposition method

Ayrık Adomian ayrışım metodu ile kesirli mertebe fark denklemlerinin çözümü

Pages
15–22
Publication Date
2018-10-29
DOI
—
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AI Summary & Key Takeaways

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

The results show that DADM is efficient, accurate and can be applied to other fractional difference equations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we propose the discrete Adomian decomposition method(DADM) to solve linear as well as nonlinear fractional partial difference equations and provide few examples to illustrate the applicability of proposed method.
📊
Key Findings & Data:In this paper, we propose the discrete Adomian decomposition method(DADM) to solve linear as well as nonlinear fractional partial difference equations and provide few examples to illustrate the applicability of proposed method.
💡
Conclusion & Impact:The results show that DADM is efficient, accurate and can be applied to other fractional difference equations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Discrete Adomian decomposition method · fractional order · partial difference equations

Abstract

In this paper, we propose the discrete Adomian decomposition method(DADM) to solve linear as well as nonlinear fractional partial difference equations and provide few examples to illustrate the applicability of proposed method. The results show that DADM is efficient, accurate and can be applied to other fractional difference equations.

Özet

Bu makalede, hem lineer hem de lineer olmayan kesirli mertebe kısmi fark denklemlerini çözmek için ayrık Adomian ayrışım metodunu(DADM) önerdik ve önerilen metodun uygulanabilirliğini göstermek için birkaç örnek verdik. Sonuçlar, DADM’nin etkili, doğru ve diğer kesirli mertebe fark denklemlerine uygulanabileceğini gösterdi.

🔖

Cite This Article

ÖZPINAR, F. (2018). Solving fractional difference equations by discrete Adomian decomposition method. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 20 - Sayı: 3, 15–22. https://ajindex.com/articles/251065

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