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Journals / Turkish Journal of Mathematics / 2022 / Cilt: 46 - Sayı: 1

On the application of Euler’s method to linear integro differential equations and comparison with existing methods

Mehmet SEZER
Deniz ELMACI
Fadime DAL
Nurcan BAYKUŞ SAVAŞANERİL
Pages
99–122
Publication Date
2022-11-05
DOI
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AI Summary & Key Takeaways

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

All of numerical calculations have been made on a computer using a program written in Matlab.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, a collocation method using Euler method for solving systems of linear integro-differential equations is presented.
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Key Findings & Data:The solution process is illustrated and various physically relevant results are obtained.
💡
Conclusion & Impact:All of numerical calculations have been made on a computer using a program written in Matlab.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, a collocation method using Euler method for solving systems of linear integro-differential equations is presented. The solution process is illustrated and various physically relevant results are obtained. Comparison of the obtained results with exact solutions and solutions obtained by other methods show that the proposed method is an effective and highly promising for linear integro-differential equation systems. All of numerical calculations have been made on a computer using a program written in Matlab.

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Cite This Article

SEZER, M., ELMACI, D., DAL, F., SAVAŞANERİL, N. B. (2022). On the application of Euler’s method to linear integro differential equations and comparison with existing methods. Turkish Journal of Mathematics, Cilt: 46 - Sayı: 1, 99–122. https://ajindex.com/articles/607268

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