A Numerical Approach of Fornberg-Whitham Equation Using Residual Power Series Method

摘要

In this paper, a modern and approach method called residual power series technique has been applied to find numerical solution for an important equation in optical communication systems and optical fibers called Fornberg-Whitham equation. In addition to that, the technique has been used in regard of the effectiveness of time. The present results have been used to compare it with the exact solution and have been shown graphically to demonstrate the effectiveness and suitability of RPS method. Furthermore, the steadiness and the action of time of the Fornberg-Whitham equation and the modified Fornberg-Whitham equation have been discussed and concluded that the RPSM method is an influential and beneficial one to solve strong nonlinear partial differential equations.