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Journals / Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2018 / Cilt: 20 - Sayı: 2

Applications of differential transformation method to solve systems of ordinary and partial differential equations

Adi ve kısmi diferansiyel denklem sistemlerinin çözümü için diferansiyel dönüşüm yönteminin uygulamaları

Ümit SARP
Fırat EVİRGEN
Sebahattin İKİKARDEŞ
Pages
135–156
Publication Date
2018-12-01
DOI
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AI Summary & Key Takeaways

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

In the last chapter, examples are solved by using the differential transformation method and are compared with other solutions of numerical methods.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the numerical solutions of some systems of ordinary and partial differential equations have been analyzed by using the Differential Transformation Method (DTM) and compared with solutions of other numerical methods .This method can be used to solve some ordinary and partial differential equations in a short time by using very simple computer commands and codes.
📊
Key Findings & Data:First chapter, the basic definition of its Differential Transformation Method and properties are given.
💡
Conclusion & Impact:In the last chapter, examples are solved by using the differential transformation method and are compared with other solutions of numerical methods.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Differential transformation method · systems of ODEs and PDEs

Abstract

In this study, the numerical solutions of some systems of ordinary and partial differential equations have been analyzed by using the Differential Transformation Method (DTM) and compared with solutions of other numerical methods .This method can be used to solve some ordinary and partial differential equations in a short time by using very simple computer commands and codes. First chapter, the basic definition of its Differential Transformation Method and properties are given. In the last chapter, examples are solved by using the differential transformation method and are compared with other solutions of numerical methods.

Özet

Bu çalışmada Diferansiyel Dönüşüm Yöntemi ile bazı adi ve kısmi diferansiyel denklem sitemleri incelenmiş ve diğer çözüm yöntemleri ile yapılmış sonuçlarla karşılaştırılmıştır. Basit bilgisayar kodları ile bu yöntem birçok adi ve kısmi diferansiyel denklem için kısa sürede çözüme ulaşabilen bir yöntemdir. Giriş kısmında Diferansiyel Dönüşüm Yöntemi ile ilgili temel tanım ve ifadeler verilmiş olup son başlıkta uygulamalara yer verilmiştir.

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Cite This Article

SARP, Ü., EVİRGEN, F., İKİKARDEŞ, S. (2018). Applications of differential transformation method to solve systems of ordinary and partial differential equations. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 20 - Sayı: 2, 135–156. https://ajindex.com/articles/250936

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