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Kesirli telegraf kısmi diferansiyel denklemin varyasyonel iterasyon metoduyla çözümü
2022
Journal:  
Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Author:  
DOI:  
10.25092/baunfbed.884328
Abstract:

Bu çalışmada, Caputo türeviyle tanımlı kesirli mertebeden telegraf kısmi diferansiyel denkleminin başlangıç-sınır değer koşullarına bağlı yaklaşık çözümü incelendi. Bu denklem için varyasyonel iterasyon metodunun çözüm prosedürü sunuldu. Bu metot için Lagrange parametresi belirlenip doğrulama fonksiyoneli oluşturuldu. Kesirli mertebeden telegraf kısmi diferansiyel denklemin örnek bir probleminin verilen başlangıç değerleri kullanılarak varyasyonel iterasyon metodu ile nümerik çözümleri elde edildi.

Keywords:

On The Numerical Solution Of The Fractional Telegraph Partial Differential Equation With Variational Iteration Method
2022
Journal:  
Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Author:  
DOI:  
10.25092/baunfbed.884328
Abstract:

In this work, the fractional order telegraph partial differential equation defined by Caputo derivative depend on initial-boundry value conditions is investigated for approximate solutions. The solution procedure of the variational iteration method is presented for this fractional order telegraph partial differential equation. Lagrange parameter is determined and correction functional is formed. The numerical solutions of an example problem for the fractional order telegraph partial differential equation are obtained by variational iteration method by using the given initial values.

Keywords:

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Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi

Field :   Eğitim Bilimleri; Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Ulusal

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Article : 874
Cite : 2.446
2023 Impact : 0.115
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Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi