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Dergiler / 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
Sayfa
49–58
Yayın Tarihi
2021-08-31
DOI
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Moreover, we present several visual illustrations.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:We then apply the proposed method to two boundary value problems for different values of the parameter α.
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Sonuç & Katkı:Moreover, we present several visual illustrations.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (13)

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