Numerical Investigation of Fractional-Order Swift–Hohenberg Equations via a Novel Transform

In this paper, the Elzaki transform decomposition method is implemented to solve time-fractional Swift–Hohenberg equations. The presented model related temperature and thermal convection of fluid dynamics, which can also be used explain formation process in liquid surfaces bounded along a horizontally well-conducting boundary. Caputo manner, fractional derivative described. suggested easy implement needs small number calculations. validity confirmed from numerical examples. Illustrative figures are derive verify supporting analytical schemes for fractional-order proposed problems. It has been that easily extended solution other linear non-linear partial differential