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Akışkanlar Dinamiğinde Oskolkov Denkleminin Tam Çözümleri
2023
Journal:  
Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi
Author:  
Abstract:

Bu çalışmada, sıkıştırılamaz bir visko-elastik Kelvin-Voigt akışkanının dinamiklerini tanımlayan bir model olan Oskolkov denkleminin gezici dalga çözümleri araştırıldı. Alt denklem yöntemini kullanarak Oskolkov denkleminin karmaşık trigonometrik ve karmaşık hiperbolik çözümleri elde edildi. Bu elde edilen çözümlerde parametrelere özel değerler atanarak grafikler sunuldu. Sunulan grafikler bir bilgisayar paket programı ile çizildi. Uygulanan yöntem, lineer olmayan kısmi diferansiyel denklemlerin tam çözümlerini üretmek için güçlü ve etkili bir yöntemdir.

Keywords:

Exact Solutions Of The Oskolkov Equation In Fluid Dynamics
2023
Author:  
Abstract:

Traveling wave solutions of the Oskolkov equation, which is a model describing the dynamics of an incompressible visco-elastic Kelvin-Voigt fluid, are investigated in this study. Complex trigonometric and complex hyperbolic solutions of Oskolkov equation are obtained using the sub equation method. In these obtained solutions, graphs are presented by assigning special values to the parameters. The presented graphics are drawn with a computer package program. Implemented method is powerful and an effective method to achieve the exact solutions of nonlinear partial differential equations (NPDEs).

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Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Ulusal

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Article : 1.428
Cite : 2.668
Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi