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Journals / Journal of New Results in Science / 2021 / Cilt: 10 - Sayı: 2

A new generalization of the differential transform method for solving boundary value problems

Oktay MUKHTAROV
Merve YÜCEL
Kadriye AYDEMİR
Pages
49–58
Publication Date
2021-08-31
DOI
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AI Summary & Key Takeaways

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

Moreover, we present several visual illustrations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, we propose a new generalization of the differential transformation method (DTM), i.e., α-Parameterized Differential Transform Method (α-PDTM), for finding approximate solutions to the boundary value problems.
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Key Findings & Data:We then apply the proposed method to two boundary value problems for different values of the parameter α.
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Conclusion & Impact:Moreover, we present several visual illustrations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Differential transform method · Boundary value problems · Approximate solution

Abstract

In this article, we propose a new generalization of the differential transformation method (DTM), i.e., α-Parameterized Differential Transform Method (α-PDTM), for finding approximate solutions to the boundary value problems. We then apply the proposed method to two boundary value problems for different values of the parameter α. Afterwards, we compare its solutions with DTM and exact solutions. Moreover, we present several visual illustrations.

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Cite This Article

MUKHTAROV, O., YÜCEL, M., AYDEMİR, K. (2021). A new generalization of the differential transform method for solving boundary value problems. Journal of New Results in Science, Cilt: 10 - Sayı: 2, 49–58. https://ajindex.com/articles/777800

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