Numerical Solutions of Conformable Time-Fractional Swift-Hohenberg Equation with Proportional Delay by the Novel Methods

Year 2023, Volume: 5 Issue: 1, 1 - 24, 30.06.2023

Ahmet Semih Erol , Halil Anaç , Ali Olgun

https://doi.org/10.55213/kmujens.1221889

Cited By: 2

Abstract

The conformable fractional q-Shehu homotopy analysis transform method and the conformable Shehu transform decomposition method are used to analyze the conformable time-fractional Swift-Hohenberg equations with proportional delay. The graphs of the numerical solutions to this problem are drawn. The proposed methods are effective and consistent, according to numerical simulations.

Keywords

Conformable time-fractional Swift-Hohenberg equation, conformable fractional q-Shehu homotopy analysis transform method, conformable fractional Shehu transform decomposition method

Oransal Gecikmeli Uyumlu Zaman-Kesirli Swift-Hohenberg Denkleminin Yeni Yöntemlerle Sayısal Çözümleri

Abstract

Uyumlu kesirli q-Shehu homotopi analizi dönüşüm yöntemi ve uyumlu Shehu dönüşümü ayrıştırma yöntemi, oransal gecikmeli uyumlu zaman-kesirli Swift-Hohenberg denklemlerini analiz etmek için kullanılmıştır. Bu problemin sayısal çözümlerinin grafikleri çizdirilmiştir. Önerilen yöntemler, sayısal simülasyonlara göre etkili ve tutarlıdır.

Keywords

Uyumlu kesirli zaman kesirli mertebeden Swift-Hohenberg denklemi, uyumlu kesirli q-Shehu homotopi analiz dönüşüm metodu, uyumlu kesirli Shehu dönüşümü ayrıştırma metodu.

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