New chemical evolution analytical solutions including environment effects

New Approximate Analytical Solutions of the Falkner-Skan Equation

We propose an iterative method for solving the Falkner-Skan equation. The method provides approximate analytical solutions which consist of coefficients of the previous iterate solution. By some examples, we show that the presented method with a small number of iterations is competitive with the existing method such as Adomian decomposition method. Furthermore, to improve the accuracy of the pr...

New analytical soliton type solutions for double layers structure model of extended KdV equation

In this present study the double layers structure model of extended Korteweg-de Vries(K-dV) equation will be obtained with the help of the reductive perturbation method, which admits a double layer structure in current plasma model. Then by using of new analytical method we obtain the new exact solitary wave solutions of this equation. Double layer is a structure in plasma and consists of two p...

Developing Adaptive Differential Evolution as a New Evolutionary Algorithm, Application in Optimization of Chemical Processes

New Analytical Model for the TCP Throughput in Wireless Environment

In this paper, we propose a new analytical model of different versions of the TCP, viz., Tahoe, Reno and New Reno, where TCP mechanisms such as slow start, fast retransmit, fast recovery and timeout are modeled as a Markov chain. In our proposed model, we consider the exponential increase of the congestion window and the exponential increase of the timeout back-off. Finally, we focus on the bul...

Analytical solutions for the fractional Fisher's equation

In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables  method to solve obtained problems. In examples, we illustrate that by right choice of source term in the modified...