Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 14 Sayı: 1

Numerical approximation with Newton polynomial for the solution of a tumor growth model including fractional differential operators

Seda İğret Araz(Siirt University, Siirt, 56100, Turkey)0000-0002-7698-0709
Pages
249–259
Publication Date
2021-03-31
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AI Summary & Key Takeaways

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

Also numerical simulations are presented to show the accuracy and the effectiveness of the method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, a mathematical model about tumor growth is handled and this model is modified with new differential and integral operators.
📊
Key Findings & Data:Numerical method with Newton polynomial which is introduced by Atangana and Seda is used for numerical solution of this model.
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Conclusion & Impact:Also numerical simulations are presented to show the accuracy and the effectiveness of the method.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:: Yeni nümerik metot · kesirli türev ve integral · tümör büyüme modeli

Abstract

In this study, a mathematical model about tumor growth is handled and this model is modified with new differential and integral operators. Numerical method with Newton polynomial which is introduced by Atangana and Seda is used for numerical solution of this model. Also numerical simulations are presented to show the accuracy and the effectiveness of the method.

Özet

Bu çalışmada, tümör büyüme ile ilgili bir matematiksel model ele alıyoruz ve bu modeli yeni diferansyel ve integral operatörlerle modifiye ediyoruz. Bu modelin nümerik çözümü için Atangana ve Seda tarafından tanıtılan Newton polinomuna sahip yeni bir nümerik metot kullanılır. Ayrıca metodun etkinliğini ve doğruluğunu görmek için nümerik simülasyon sunuyoruz.

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Cite This Article

Araz, S. İ. (2021). Numerical approximation with Newton polynomial for the solution of a tumor growth model including fractional differential operators. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 14 Sayı: 1, 249–259. https://doi.org/10.18185/erzifbed.753464

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