The paper concentrates on the solitary waves that are retrievable from generalized Boussinesq equation. numerical simulations displayed in gives a visual perspective to model studied neurosciences. Laplace–Adomian decomposition scheme makes this visualization of solitons possible. being reported for first time using an elegant approach. results would be helpful neuroscientists and clinical stud...

We apply the homotopy perturbation method for solving the fourth-order boundary value problems. The analytical results of the boundary value problems have been obtained in terms of convergent series with easily computable components. Several examples are given to illustrate the efficiency and implementation of the homotopy perturbation method. Comparisons are made to confirm the reliability of ...

The paper investigates the effects of radiant heat transfer on the viscous reactive flows. The nonlinear governing equations are transformed into nondimensionalised form using some nondimensional variables. Approximate solutions are constructed first, for the governing non-linear boundary value problem before using approximate analytical solution (Adomian Decomposition Method) and the results w...

In this letter, He’s Variational iteration method (VIM) is implemented for solving the nonlinear Whitham-Broer-Kaup partial differential equations. This method is based on Lagrange multipliers for identification of optimal values of parameters in a functional. Using this method creates a sequence which tends to the exact solution of the problem. The results are compared with those obtained by t...

This article presents an iterative scheme for solution of the viscous Cahn-Hilliard equation. The procedure is based on the Variational Iteration Method (VIM) in which the solutions are calculated in the form of a convergent series with easily computable components. A good agreement is observed between the present solutions and that obtained by other iterative methods like Adomian Decomposition...