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 Klein–Gordon equation is used to model many nonlinear phenomena. In this
paper, we propose a numerical scheme to solve the one-dimensional nonlinear Klein …

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 …

Recently, it is found that telegraph equation is more suitable than ordinary diffusion equation
in modelling reaction diffusion for such branches of sciences. In this article, we propose a …

In this article we propose a numerical scheme to solve the one‐dimensional hyperbolic
telegraph equation. The method consists of expanding the required approximate solution as …

The Lane–Emden equation is Poisson's equation for the gravitational potential of a self-
gravitating, spherically symmetric polytropic fluid which arises in many applications of …

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 …

In this study, homotopy perturbation method (HPM) is used to obtain analytic and
approximate solutions of the space-and time-fractional telegraph equations. The space-and …