Standart ve Standart Olmayan Theta Metotlarının Bazı Uygulamaları ve Sonuçları

Bu çalışmada Adi Diferansiyel Denklemlerin nümerik çözüm metotlarından biri olan Theta Metodu araştırıldı. Mickens’in ortaya koyduğu Standart Olmayan Sonlu Fark Metotlarının bakış açısıyla bazı teoremler ve uygulamalar verildi. Bununla beraber, Standart ve Standart Olmayan Thata Metotları diğer klasik metotlar ile karşılaştırılarak güvenilirlikleri test edildi.

Anahtar Kelimeler:

Theta Metodu, Diferansiyel Denklemler, Nümerik Metotlar

Some Results and Applications of Standard and Non-standard Theta Methods

In this paper, The Theta Method which is one way of the numerical solution method of ordinary differential equations was investigated. Some theorems and applications were given from the point of non-standard finite difference methods discovered by Mickens. Moreover, the performance of the Standard and Non-standard Theta method was tested by comparing with other classical numerical methods.

Keywords:

Theta Method, Differential Equations, Numerical Methods,

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