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Dergiler / Mathematical and Computational Applications / 2014 / Cilt: 19 - Sayı: 2

Approximate solutions for coupled systems of nonlinear pdes using the reduced differential transform method

Mahmoud RAWASHDEH
Sayfa
161–171
DOI
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Illustrative examples will be presented to support the proposed analysis.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we are concerned with finding approximate solutions to systems of nonlinear PDEs using the Reduced Differential Transform Method (RDTM).
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Temel Bulgular & Veri:We examine this method to obtain approximate numerical solutions for two different types of systems of nonlinear partial differential equations, such as the two- component KdV evolutionary system of order two and the Broer-Kaup (BK) system of equations.
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Sonuç & Katkı:Illustrative examples will be presented to support the proposed analysis.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we are concerned with finding approximate solutions to systems of nonlinear PDEs using the Reduced Differential Transform Method (RDTM). We examine this method to obtain approximate numerical solutions for two different types of systems of nonlinear partial differential equations, such as the two- component KdV evolutionary system of order two and the Broer-Kaup (BK) system of equations. The theoretical analysis of the RDTM is investigated for these systems of equations and is calculated in the form of power series with easily computable terms. Illustrative examples will be presented to support the proposed analysis.

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Bu Makaleye Atıf Yap

RAWASHDEH, M. (2014). Approximate solutions for coupled systems of nonlinear pdes using the reduced differential transform method. Mathematical and Computational Applications, Cilt: 19 - Sayı: 2, 161–171. https://ajindex.com/articles/279792

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Kaynakça (14)

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