Kesirli Mertebe Kısmi Diferensiyel Denklemlerin Ayrık Homotopi Perturbasyon Metodu ile Çözümü

Figen Özpınar

doi:10.35414/akufemubid.685429

Araştırma Makalesi

Solution of Fractional Order Partial Differential Equations by Discrete Homotopy Perturbation Method

Yıl 2020, Cilt: 20 Sayı: 2, 213 - 221, 20.05.2020

Figen Özpınar

https://doi.org/10.35414/akufemubid.685429

Cited By: 1

Öz

This work is developed the discrete homotopy perturbation method with a space discrete version to solve the linear and nonlinear time derivative fractional partial differential equations. The fractional derivatives are considered in the sense of Caputo. The success and applicability of this method has been demonstrated by some sample problems. When fractional order is unit, obtained results are good agreement with the exact solutions. The method demonstrated in this study is expected to solve similar problems in fractional calculus.

Anahtar Kelimeler

Discrete homotopy perturbation method, Caputo fractional derivative, Fractional discrete diffusion equation, Fractional discrete Schrödinger equation, Fractional discrete Burgers’ equation

Kaynakça

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