Lineer olmayan kısmi türevli diferensiyel denklemlere Kudryashov metodu ve homojen denge metodunun uygulanması
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Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Niğde Ömer Halisdemir Üniversitesi / Fen Bilimleri Enstitüsü
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Bu tez çalışmasında, Kudryashov metot, Homojen Denge metodu ve bu metotlar arasındaki ilişkiler incelenmiştir. Fizik bilim alanı ve mühendislik uygulamalarında kullanılan lineer olmayan kısmi türevli Fisher denklemi, Benjamin-Bona-Mahony (BBM) denklemi, Schamel-KdV (S-KdV) denklemi, Calogero-Bogoyavlenskii-Schiff (CBS) denklemi, Boito-Leon-Manna-Pempinelli (BLMP) denklemi, Gardner denklemi, Caudrey-Dodd-Gibbon (CDG) denklemi ve Sawada-Kotera (SK) denkleminin tam çözümleri bu iki metot kullanılarak elde edilmiştir. Bulunan tam çözümler hem kendi aralarında hemde literatürdeki sonuçlarla karşılaştırılmıştır ve bu çözümler literatürde bulunan çözümlerle aynı ve farklı tipten hiperbolik, trigonometrik, rasyonel fonksiyonlardır.
In this thesis, Kudryashov method, Homogeneous Balance method and the relations between these methods are studied. The exact solutions of Benjamin-Bona-Mahony (BBM) equation, Fisher equation, Schamel-KdV (S-KdV) equation, Calogero-Bogoyavlenskii-Schiff (CBS) equation, Boito-Leon-Manna-Pempinelli (BLMP) equation, Gardner equation, Caudrey-Dodd-Gibbon (CDG) equation and Sawada-Kotera (SK) equation, which are nonlinear partial differential equations used in the physics science field and engineering applications, are obtained by using these two methods. The obtained exact solutions are compared both with each other and with the results in the literature. They are the same and different types of hyperbolic, trigonometric, rational functions from the solutions found in the literature.
In this thesis, Kudryashov method, Homogeneous Balance method and the relations between these methods are studied. The exact solutions of Benjamin-Bona-Mahony (BBM) equation, Fisher equation, Schamel-KdV (S-KdV) equation, Calogero-Bogoyavlenskii-Schiff (CBS) equation, Boito-Leon-Manna-Pempinelli (BLMP) equation, Gardner equation, Caudrey-Dodd-Gibbon (CDG) equation and Sawada-Kotera (SK) equation, which are nonlinear partial differential equations used in the physics science field and engineering applications, are obtained by using these two methods. The obtained exact solutions are compared both with each other and with the results in the literature. They are the same and different types of hyperbolic, trigonometric, rational functions from the solutions found in the literature.
Açıklama
Anahtar Kelimeler
Kudryashov metodu, Homojen Denge metodu, Benjamin-Bona-Mahony (BBM) denklemi, Fisher denklemi, Schamel-KdV denklemi, Calogero-Bogoyavlenskii-Schiff (CBS) denklemi, Boiti-Leon-Manna-Pempinelli (BLMP) denklem, Gardner denklemi, Caudrey-Dodd-Gibbon (CDG), Sawada-Kotera (SK), Kudryashov method, Homogeneous Balance method, Benjamin-Bona-Mahony (BBM) equation, Schamel-KdV(S-KdV), Calogero-Bogoyavlenskii-Schiff (CBS) equation, Boito-Leon-MannaPempinelli (BLMP) equation, Gardner equation, Caudrey-Dodd-Gibbon(CDG) and Sawada-Kotera(SK)
Kaynak
WoS Q Değeri
Scopus Q Değeri
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Sayı
Künye
Türkmen, Ç. (2019). Lineer olmayan kısmi türevli diferensiyel denklemlere Kudryashov metodu ve homojen denge metodunun uygulanması. (Yüksek Lisans Tezi) Niğde Ömer Halisdemir Üniversitesi, Fen Bilimleri Enstitüsü, Niğde
