On the Coupling of Auxiliary Parameter, Adomian\u27s Polynomials and Correction Functional

In this paper, we apply He’s variational iteration method (VIM) coupled with an auxiliary parameter and Adomian’s polynomials which proves very effective to control the convergence region of approximate solution. The proposed algorithm is tested on generalized Hirota–Satsuma coupled KdV equation and numerical results explicitly reveal the complete reliability, efficiency and accuracy of the suggested technique. It is observed that the approach may be implemented on other nonlinear models of physical nature

Tri-prong scheme for regularized long wave equation

This paper witnesses the application of a tri-prong scheme comprising the well-known Variational Iteration (VIM), Adomian’s polynomials and an auxiliary parameter to obtain solutions of regularized long wave (RLW) equation in large domain. Computational work elucidates the solution procedure appropriately and comparison with results by the standard variational iteration method shows that the auxiliary parameter proves very effective to control the convergence region of approximate solutions