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The main objective of the current study was to solve the time-dependent Emden-Fowler-type equation with singular behavior. The technique used here was called the variational iteration method (VIM). The advantage of this work is twofold. Firstly, the VIM reduces the computational work. Secondly, in comparison with existing techniques, the VIM is an improvement with regard to its accuracy and rapid convergence. The VIM has the advantage of being more concise for analytical and numerical purposes. To show the efficiency of the VIM, several examples are presented. Comparisons with exact solution show that the VIM is a powerful method for the solution of linear and nonlinear equations

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In this paper, the optimal characteristics of network structures are considered. The mathematical model to estimate the optimum bandwidth of communication networks for the arbitrary law of the length distribution of a transmitted message founded. General TermsNetwork, Mathematical models KeywordsQueuing theory, probability theory, stochastic processes, theory of mathematical modeling, network design theory, theory of mathematical programming.