QUASI-ANALYTIC APPROXIMATION OF SHARMA-TASSO-OLVER EQUATION

In this study, three quasi-analytical techniques; Variational Iteration Method (VIM), Reduced Differential Transform Method (RDTM), and Adomian Decomposition Method (ADM) were applied to the nonlinear Sharma-TassoOlver equation to deduce the performance of their convergence characteristics. A comparative analysis shows Variational Iteration Method (VIM) converge faster and reduced computational complexity relative to RDTM and ADM. In particular, VIM avoids the explicit construction of Adomian polynomials, which can become increasingly cumbersome for strongly nonlinear terms. Consequently, VIM proves to be computationally efficient approach for solving the Sharma–Tasso–Olver equation