Oransal Gecikmeli Uyumlu Zaman Kesirli Genelleştirilmiş Burgers Denkleminin Yeni Yöntemlerle Sayısal Çözümü

Yıl 2023, Cilt: 13 Sayı: 2, 310 - 335, 15.06.2023

Abdullah Kartal , Halil Anaç , Ali Olgun

https://doi.org/10.31466/kfbd.1191870

Cited By: 2

Öz

Uyumlu kesirli q-homotopi analiz dönüşümü yöntemi ve uyumlu Shehu homotopi pertürbasyon yöntemi olarak adlandırılan iki yeni yöntem kullanılarak, orantılı gecikmeli uyumlu zaman-fraksiyonel kısmi diferansiyel denklemler analiz edilmiştir. Bu denklemin sayısal çözümlerinin grafikleri çizilir. Sayısal simülasyonlara göre önerilen yöntemler etkili ve güvenilirdir.

Anahtar Kelimeler

Uyumlu zaman kesirli genelleştirilmiş Burgers denklemi, uyumlu q-homotopi analiz dönüşüm metodu, uyumlu q-homotopi analiz dönüşüm metodu,, uyumlu Shehu homotopi pertürbasyon metodu, oransal gecikme

Numerical Solution of Conformable Time Fractional Generalized Burgers Equation with Proportional Delay by New Methods

Öz

By using two new methods, called the conformable fractional q-homotopy analysis transform method and the conformable Shehu homotopy perturbation method, the conformable time-fractional partial differential equations with proportional delay is analysed. The graphs of this equation's numerical solutions are drawn. According to numerical simulations, the proposed methods are effective and reliable.

Anahtar Kelimeler

Conformable time fractional generalized Burgers equation, conformable q-homotopy analysis transform method, conformable Shehu homotopy perturbation method, proportional delay

Kaynakça

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