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...

As an application of Hirota bilinear method, perturbation expansion truncated at different levels is used to obtain exact soliton solutions to (2+1)-dimensional nonlinear evolution equation in much simpler way in comparison to other existing methods. We have derived bilinear form of nonlinear evolution equation and using this bilinear form, bilinear Backlund transformations and construction of ...

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...

In this short paper we present a case study of creating a character using implicit surfaces and developing an animation sequence which brings it to life. We show some problems specific to implicit surfaces and discuss solutions we used to deal with them. Basic knowledge of animation techniques and implicit surfaces terminology is assumed.