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Research ArticleOpen accessAnalytical Solution of Nonlinear Vibrating SystemsN. Tolou, I. Khatam, B. Jafari, D. D. GanjiThe responses of nonlinear vibrating systems are investigated analytically using Homotopy Perturbation Method (HPM). To demonstrate the validity of the proposed method, the results obtained by HPM have been depicted graphically and have been compared with those of the exact solution. A clear conclusion can draw from the numerical results that the method provides highly accurate solutions to the discussed … …American Journal of Applied Sciences, Vol. 5, Issue 9 · 30 Sep 2008 · 7,149 accessesView PDFCite
Research ArticleOpen accessNonlinear Whitham-Broer-Kaup Wave Equation in an Analytical SolutionS.A. Zahedi, M. Vaezi, N. TolouThis study presented a new approach for the analysis of a nonlinear Whitham-Broer-Kaup equation dealing with propagation of shallow water waves with different dispersion relations. The analysis was based on a kind of analytical method, called Variational Iteration Method (VIM). To illustrate the capability of the approach, some numerical examples were given and the propagation and the error of solutions … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 2 · 30 Jun 2008 · 7,680 accessesView PDFCite