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...

Simple queueing systems are presented as candidates for solution by both analytical and simulation methods. The limitations of the analytical approach are contrasted with the stochastic nature of a simulation solution. A sequence of problems leads from a model which is easily solved analytically to a model which is not amenable to an analytical solution. Simulation output for each problem is co...