Analytical solution for nonlinear wave propagation in shallow media using the variational iteration method


YOUNESIAN D., ASKARI H., SAADATNIA Z., YILDIRIM A.

WAVES IN RANDOM AND COMPLEX MEDIA, cilt.22, ss.133-142, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 22 Konu: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1080/17455030.2011.633578
  • Dergi Adı: WAVES IN RANDOM AND COMPLEX MEDIA
  • Sayfa Sayıları: ss.133-142

Özet

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.