in this paper, we present a comparative study between the modified variational iteration method (mvim) and a hybrid of fourier transform and variational iteration method (ftvim). the study outlines the efficiencyand convergence of the two methods. the analysis is illustrated by investigating four singular partial differential equations with variable coefficients. the solution of singular partia...

F. Shakeri and M. Dehghan in [13] presented the variational iteration method for solving the model describing biological species living together. Here we suggest the differential transform (DT) method for finding the numerical solution of this problem. To this end, we give some preliminary results of the DT and by proving some theorems, we show that the DT method can be easily applied to mentio...

Stochastic fractal search (SFS) is a novel method inspired by the process of stochastic growth in nature and use mathematical concept. Considering chaotic diffusion property, an improved dynamic (DSFS) optimization algorithm presented. The DSFS was tested with benchmark functions, such as multimodal, hybrid, composite to evaluate performance parameter adaptation type-1 type-2 fuzzy inference mo...

bootstrapping the dea is one of the current methods of measuring robust efficiency by constructing a confidence interval and measuring the noise (bias) in production. in this study, two estimators: the conventional data envelopment analysis (dea) and bootstrap simulation with 2,000 bootstrap iterations were applied on a cross sectional data of 296 broiler farms in peninsular malaysia. the objec...

cerebellar model articulation controller neural network is a computational model of cerebellum which acts as a lookup table. the advantages of cmac are fast learning convergence, and capability of mapping nonlinear functions due to its local generalization of weight updating, single structure and easy processing. in the training phase, the disadvantage of some cmac models is unstable phenomenon...

This paper presents a comparison between variational iteration method (VIM) and modfied variational iteration method (MVIM) for approximate solution a system of Volterra integral equation of the first kind. We convert a system of Volterra integral equations to a system of Volterra integro-di®erential equations that use VIM and MVIM to approximate solution of this system and hence obtain an appr...

In this paper, the Kadomtsev-Petviashvili equation is solved by using the Adomian’s decomposition method , modified Adomian’s decomposition method , variational iteration method , modified variational iteration method, homotopy perturbation method, modified homotopy perturbation method and homotopy analysis method. The existence and uniqueness of the solution and convergence of the proposed...

This paper is concerned with finding an optimal algorithm for minimizing a composite convex objective function. The basic setting that the sum of two functions: first function smooth up to dth-order derivative information available, and second possibly nonsmooth, but its proximal tensor mappings can be computed approximately in efficient manner. problem find—in setting—the best possible (optima...

in this article, an analytical approximate solution of nonlinear fractional convection-diffusion with modifiedriemann-liouville derivative was obtained with the help of fractional variational iteration method (fvim). a newapplication of fractional variational iteration method (fvim) was extended to derive analytical solutions in theform of a series for this equation. it is indicated that the so...