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Dergiler / 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
Sayfa
99–122
Yayın Tarihi
2022-11-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, a collocation method using Euler method for solving systems of linear integro-differential equations is presented.
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Temel Bulgular & Veri:The solution process is illustrated and various physically relevant results are obtained.
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Sonuç & Katkı:All of numerical calculations have been made on a computer using a program written in Matlab.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (12)

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