Solution of time fractional Swift-Hohenberg equation by Aboodh transform homotopy perturbation method

In this study, the Aboodh transform homotopy perturbation method has been used to solve fractional differential equations. The Swift–Hohenberg equation accurately explains the creation and evolution of patterns in a wide range of systems. The Swift-Hohenberg (S-H) model is linked to fluid dynamics, temperature, and thermal convection. The problem's convergence analysis is displayed. All of the Surface representation graphs are also represented using MAPLE. ATHPM solution has been compared with the exact solution and LADM to check the accuracy of the proposed method.

Keywords:

Swift Hohenberg (S-H) equation , Fractional differential equation , Aboodh transform , Homotopy perturbation method