Applications of differential transform to boundary value problems for delayed differential equations

Peakons of Novikov Equation via the Homotopy Analysis Method

“…Among the most popular methods are perturbation methods (see, for example, [23] or [24]), the Adomian decomposition method (ADM) [25], the differential transform method (DTM) [26], and the homotopy analysis method (HAM), which is described in detail and applied to a variety of physical and mathematical problems in the books [27,28]. It is worth mentioning that the DTM, combined with the method of steps, has been successfully applied for solving PDEs [29] and boundary value problems for delayed differential equations [30].…”