Sawada-Kotera Denkleminin Nümerik Yöntemlerle Çözümü ve Çözümlerin Karşılaştırılması

Abstract

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. 

Keywords

• Çizgiler Yöntemi,Ağsız Yöntemler,Radyal Baz Fonksiyonları

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

Abstract

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. 

Keywords

• Method of Lines,Meshless Method,Radial Basis Functions

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