Numerical Solution for Time-Fractional Murray Reaction-Diffusion Equations via Reduced Differential Transform Method

Yıl 2023, Cilt: 16 Sayı: 1, 120 - 137, 31.03.2023

Muhammed Yiğider Serkan Okur

https://doi.org/10.18185/erzifbed.1217232

Öz

Bu çalışmada mühendislik ve fen bilimlerinde ortaya çıkan zaman-kesirli diferansiyel denklemin yarı analitik ve sayısal çözümleri indirgenmiş diferansiyel dönüşüm metodu kullanılarak incelenmiştir. Öncelikle kesirli mertebeden türevlerin tanımı ve önemli özellikler verilmiştir. Daha sonra Caputo kesirli türev tanımı kullanılarak indirgenmiş diferansiyel metodu sunulmuştur. Son olarak, kesirli mertebeden Murray diferansiyel denkleminin yarı analitik ve sayısal çözümleri İndirgenmiş diferansiyel dönüşüm metodu kullanılarak elde edilmiştir. Elde edilen çözümler tablo ve grafik üzerinde gösterilerek karşılaştırılma yapılmıştır.

Anahtar Kelimeler

Time-fractional differential equations, reduced differential transform methods, murray equations, caputo fractional derivative

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