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Journals / 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
Pages
161–171
DOI
—
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AI Summary & Key Takeaways

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

Illustrative examples will be presented to support the proposed analysis.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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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Key Findings & Data: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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Conclusion & Impact:Illustrative examples will be presented to support the proposed analysis.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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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Cite This Article

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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