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Journals / Fundamental Journal of Mathematics and Applications / 2020 / Volume: 3 Issue: 2

On Solutions of a Higher Order Nonhomogeneous Ordinary Differential Equation

Elif Nuray Yıldırım(ISTANBUL COMMERCE UNIVERSITY)0000-0002-2934-892X
Ali Akgul(SIIRT UNIVERSITY)0000-0001-9832-1424
Pages
—
Publication Date
2020-12-15
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AI Summary & Key Takeaways

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

Absolute errors and relative errors have been given in the tables.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Higher order differential equations (ODE) has an important role in the modelling process.
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Key Findings & Data:It is also much significant which the method is used for the solution.
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Conclusion & Impact:Absolute errors and relative errors have been given in the tables.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Nonhomogeneous ordinary differential equations · Approximate solution · Initial value problems Reproducing kernel method

Abstract

Higher order differential equations (ODE) has an important role in the modelling process. It is also much significant which the method is used for the solution. In this study, in order to get the approximate solution of a nonhomogeneous initial value problem, reproducing kernel Hilbert space method is used. Reproducing kernel functions have been obtained and the given problem transformed to the homogeneous form. The results have been presented with the graphics. Absolute errors and relative errors have been given in the tables.

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Cite This Article

Yıldırım, E. N., Akgul, A. (2020). On Solutions of a Higher Order Nonhomogeneous Ordinary Differential Equation. Fundamental Journal of Mathematics and Applications, Volume: 3 Issue: 2. https://doi.org/10.33401/fujma.795418

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