The new numerical solutions of conformable time fractional generalized Burgers equation with proportional delay

Yıl 2023, Cilt: 13 Sayı: 4, 927 - 938, 15.10.2023

Abdullah Kartal Halil Anaç Ali Olgun

https://doi.org/10.17714/gumusfenbil.1281570

Öz

The conformable time-fractional partial differential equations with proportional delay are studied using two new methods: the conformable fractional q-homotopy analysis transform method and the conformable Shehu homotopy perturbation method. The numerical solutions to this equation are graphed. Numerical simulations show that the proposed techniques are effective and trustworthy.

Anahtar Kelimeler

Conformable q-homotopy analysis transform method, Conformable time-fractional generalized Burgers equation, Proportional delay

Oransal gecikmeli uyumlu zaman kesirli mertebeden genelleştirilmiş Burgers denkleminin yeni sayısal çözümleri

Öz

Oransal gecikmeli uyumlu zaman-kesirli kısmi diferansiyel denklemler, iki yeni yöntem olan uyumlu kesirli q-homotopi analizi dönüşüm yöntemi ve uyumlu Shehu homotopi pertürbasyon yöntemi kullanılarak incelenir. Bu denklemin sayısal çözümleri grafiklerle gösterilmiştir. Sayısal simülasyonlar, önerilen tekniklerin etkili ve güvenilir olduğunu göstermektedir.

Anahtar Kelimeler

Uyumlu q-homotopi analiz dönüşümü metodu, Uyumlu kesirli mertebeden genelleştirilmiş Burgers denklemi, Oransal gecikme

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