In this article, the homotopy analysis method is applied to solve nonlinear fractional partial
differential equations. On the basis of the homotopy analysis method, a scheme is …

The nonlinear sine-Gordon equation arises in various problems in science and engineering.
In this paper, we propose a numerical scheme to solve the two-dimensional …

This article mainly explores and applies a modified form of the analytical method, namely the
homotopy analysis transform method (HATM) for solving time-fractional Cauchy reaction …

In this paper, we construct a family of wave solutions to the doubly dispersive equation, such
as topological, non-topological, singular, compound topological-non-topological bell-type …

In this paper, a scheme is developed to study numerical solution of the space-and time-
fractional Burgers equations with initial conditions by the variational iteration method (VIM) …

In this work, the homotopy perturbation method (HPM), the variational iteration method (VIM)
and the Adomian decomposition method (ADM) are applied to solve the Fitzhugh–Nagumo …

In this paper the variational iteration method is used to compute the solution for the linear,
variable coefficient, fractional derivative and multi space telegraph equations. The method …

The variational iteration method is applied to solve the generalized pantograph equation.
This technique provides a sequence of functions which converges to the exact solution of …

The present research correlates with a fuzzy hybrid approach merged with a homotopy
perturbation transform method known as the fuzzy Shehu homotopy perturbation transform …

In this paper, the solution of Cauchy reaction–diffusion problem is presented by means of
the homotopy perturbation method. Reaction–diffusion equations have special importance …