ABSTRACT:
In this paper, we applied the semi-analytic Variational Iteration method (VIM), Reduced Differential Transform method (RDTM) and the Adomian decomposition method (ADM) to the nonlinear Sharma-Tasso-Olver equation to test the efficacy of the methods. The study showed that these semi-analytic methods are efficient tools for obtaining approximate solutions to nonlinear equations with wide applications in physics and engineering. Conclusively, VIM is better than the RDTM and ADM for solving this equation due to its faster convergence rate and because it does not require calculating the cumbersome Adomian polynomials.