Solutions of Time Fractional Mathematical Model with Effective Techniques

Yıl 2023, , 203 - 220, 31.12.2023

Yusuf Gürefe , Yusuf Pandir , Tolga Aktürk

https://doi.org/10.54370/ordubtd.1324572

Öz

In this article, the Time Fractional Clannish Random Walker’s Parabolic Equation traveling wave solutions,a non-linear partial differential equation, is analyzed using the modified exponential function method (MEFM) and the Generalized Kudryashov Method (GKM). In this way, the solution functions of the mathematical model were obtained through a mathematical program with the help of two effective methods. Two-dimensional, three-dimensional, contour graphics simulating the behavior of this non-linear mathematical model were drawn with the help of the program under appropriate parameters.

Anahtar Kelimeler

the time fractional Clannish Random Walker’s parabolic equation, modified exponential function method, generalized Kudryashov method

Zaman Kesirli Matematiksel Modelin Etkili Tekniklerle Çözümü

Öz

Bu makalede, doğrusal olmayan bir kısmi diferansiyel denklem olan Zaman Kesirli Clannish Random Walker'ın Parabolik Denklemi hareketli dalga çözümleri, Geliştirilmiş Üstel Fonksiyon Metodu (GÜFM) ve Genelleştirilmiş Kudryashov Metodu (GKM) kullanılarak analiz edilmektedir. Bu şekilde, matematiksel modelin çözüm fonksiyonları, iki etkili yöntem yardımıyla matematiksel bir program aracılığıyla elde edilmiştir. Doğrusal olmayan bu matematiksel modelin davranışını simüle eden iki boyutlu, üç boyutlu kontur grafikleri program yardımıyla uygun parametreler altında çizilmiştir.

Anahtar Kelimeler

zaman kesirli Clannish Random Walker, geliştirilmiş üstel fonksiyon metodu, genelleştirilmiş Kudryashov metodu

Kaynakça

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