Doğrusal Olmayan Sınır Değerli Pantograf Tip Gecikmeli Diferansiyel Denklemlerin Nümerik Çözümleri

Year 2020, Volume: 32 Issue: 3, 333 - 339, 01.09.2020

Bülent Yılmaz , Volkan Yaman

https://doi.org/10.7240/jeps.696635

Abstract

Bu çalışmada doğrusal olmayan sınır değerli pantograf tip gecikmeli diferansiyel denklemlerin çözümünde Daftardar-Jafari Metodunu (DJM), Adomian Ayrıştırma Metodu (ADM) ve Diferansiyel Transformasyon Metoduyla (DTM) karşılaştırdık. Bu 3 metot ta seri formunda çözümler oluştumaktadır. Bu 3 metodun ilk n-terimli yaklaşık çözümlerini 2 nümerik örnekle analiz ederek DJM nin sınır değerli gecikmeli diferansiyel denklemlerin çözümünde ADM ve DTM kadar iyi olup olmadığını araştırdık ve sonuç olarak DJM nin bu tip problemlerde güvenilir bir metot olduğunu gördük.

Keywords

gecikmeli diferansiyel denklemler, daftardar-jafari, adomian ayriştırma, diferansiyel transformasyon

Numerical Solutions Of Nonlinear Boundary Value Pantograph Type Delay Differential Equations

Abstract

In this paper we compared the Daftardar-Jafari Method (DJM) with Adomian Decomposition Method (ADM) and Differential Transformation Method (DTM) in solving nonlinear boundary value delay differential equations of pantograph type. All these 3 methods provide series solutions to the problems. We analysed the first n-term approximate solutions of these 3 methods with 2 numerical examples to see if DJM is as good as ADM and DTM in solving nonlinear boundary value delay differential equations and we found DJM a reliable method in solving this kind of problems.

Keywords

delay differential equations, daftardar-jafari, adomian decomposition, differential transformation

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