Standart ve Standart Olmayan Theta Metotlarının Bazı Uygulamaları ve Sonuçları

Year 2016, Volume: 11 Issue: 2, 109 - 120, 02.12.2016

Fatih Er Mevlüde Yakıt Ongun

Abstract

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.

Keywords

Theta Metodu, Diferansiyel Denklemler, Nümerik Metotlar

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

Abstract

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

References

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