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

Year 2021, , 249 - 259, 31.03.2021

Seda İğret Araz

https://doi.org/10.18185/erzifbed.753464

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.

Keywords

numerical method, fractional derivative and integral, tumor growth model

Kesirli diferansiyel operatörler içeren bir tümör büyüme modelinin çözümü için yeni nümerik yaklaşım

Abstract

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.

Keywords

: Yeni nümerik metot, kesirli türev ve integral, tümör büyüme modeli

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