On the numerical solution of the fractional telegraph partial differential equation with variational iteration method

Öz

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.

Anahtar Kelimeler

• Fractional telegraph partial differential equations
• varitional iteration method,
• Langrange parameter
• approximation solution

Kesirli telegraf kısmi diferansiyel denklemin varyasyonel iterasyon metoduyla çözümü

Öz

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.

Anahtar Kelimeler

• Kesirli telegraf kısmi diferansiyel denklemi
• varyasyonel iterasyon metodu
• Langrange parametresi
• yaklaşık çözüm.

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