The purpose of this letter is to revisit the nonlinear reaction-diusion modelin porous catalysts when reaction term is fractional function of the concen-tration distribution of the reactant. This model, which originates also in uidand solute transport in soft tissues and microvessels, has been recently givenanalytical solution in terms of Taylors series for dierent family of reactionterms. We a...

We present a method to obtain approximate polynomial solutions for a class of second order nonlinear differential equations arising in heat transfer problems. We apply this method to find a approximate polynomial solution for the nonlinear temperature distribution equation of a thick rectangular fin. Key-Words: Nonlinear differential equation; boundary value problem; ε -approximate analytical a...

This paper describes an advantageous method for using the capacitor banks in the distribution network, optimally. The aim is to determine the count, location and capacitor values in order to minimize the annual cost resulting from energy losses and capacitor bank’s installation cost. Besides, in the case of having nonlinear loads in the network, by installing capacitors in appropriate locations...

Aerosols are among the most important of atmospheric pollutants observed like the microscopic particulate matter in the lower parts of the troposphere. The main purpose of this study is introducing a new method based on satellite images processing results and nonlinear analysis (fractal based) to investigate the origin and dynamical mechanism of aerosols distribution in North Africa and the Mid...

Nonlinear PAPR reducers, such as clipping and companding techniques, are some simple methods used to reduce the Peak-to-Average Power Ratio (PAPR). In this paper, assuming that the baseband OFDM signal is characterized as a band-limited complex Gaussian process, we investigate the PAPR distribution of an OFDM signal when it is passed through a nonlinear PAPR reducer. The obtained PAPR distribut...

The ever increase of nonlinear loads in electric distribution networks causes many problems due to the high level of harmonic currents. This paper proposes a new technique for controlling a single phase shunt active power filter based on a selective compensation using the newly developed technique of harmonic control arrays. Simulation results confirm the appropriate selective harmonic compensa...

In this study, nonlinear analysis for thick cylindrical pressure vessels with arbitrary variable thickness made of hyperelastic functionally graded material properties in nearly incompressible state and clamped boundary conditions under non-uniform pressure loading is presented. Thickness and pressure of the shell are considered in axial direction by arbitrary nonlinear profiles. The FG materia...