Analytical solution for nonlinear wave propagation in shallow media using the variational iteration method
Articles > Article ยท 2011
Authors: Davood YOUNESIAN, Hassan ASKARI, Zia SAADATNIA, Ahmet YILDIRIM
Waves in Random and Complex Media, Journal Indexed in SCI Expanded, International, WoS, 2011, vol 22, pp 133-142
DOI: 10.1080/17455030.2011.633578
Summary
An analytical solution is presented for nonlinear surface wave propagation. A variational iteration method (VIM) was employed and time-dependent profiles of the surface elevation level and velocity obtained analytically for different initial conditions. It is shown that the VIM used here is a flexible and accurate approach and that it can rapidly converge to the same results obtained by the Adomian decomposition method.