Sawada-Kotera Denkleminin Nümerik Yöntemlerle Çözümü ve Çözümlerin Karşılaştırılması

Yıl 2019, Cilt: 14 Sayı: 2, 256 - 268, 30.11.2019

Zekeriya Özkan Ramazan Uyhan

https://doi.org/10.29233/sdufeffd.568179

Cited By: 1

Öz

Hesaplama
biliminde bilgisayarın etkili ve verimli kullanılması ile beraber kısmi türevli
diferansiyel denklemleri çözebilmek için kaynaklarda çok çeşitli metotlar sunulmuştur.
Bu metotların bazıları analitik metot çözümü bulurken bazıları algoritma
tabanlı yaklaşık çözümü bulan metotlardır. Bu çalışmada, Sawada-Kotera denklemi
çizgiler metodu ve radyal baz fonksiyonları yardımı ile ağsız çizgiler metodu
kullanılarak çözülmüştür. Elde edilen sonuçlar üzerinden de bu iki metot karşılaştırılmıştır. 

Anahtar Kelimeler

Çizgiler Yöntemi, Ağsız Yöntemler, Radyal Baz Fonksiyonları

Solution of Sawada-Kotera Equation with Numerical Methods and Comparison of Solutions

Öz

Effective and fruitful use
of computers in computing science, along with part of the literature, many techniques
to obtain the solution of differantial equations is presented. Some of these
methods, while achieving analytical technique and some of them algorithm based
solution techniques that approximate the solution.   In this study, Sawada-Kotera equation is
solved using the method of lines and meshless method of lines using radial
basis functions. These two methods are compared on the obtained results. 

Anahtar Kelimeler

Method of Lines, Meshless Method, Radial Basis Functions

Kaynakça

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