Showing papers in "Communications in Nonlinear Science and Numerical Simulation in 2010"

TL;DR: In this paper, an optimal homotopy analysis approach is described by means of the nonlinear Blasius equation as an example, which can be used to get fast convergent series solutions of different types of equations with strong nonlinearity.

TL;DR: In this article, the authors compared fractional and integer order models to describe the viscoelastic properties of soft biological tissue-like materials under harmonic mechanical loading, and found that fractional order models can represent the more complicated rate dependency of material behavior of biological tissues over a broad spectral range.

TL;DR: In this paper, the authors proposed a second order slip flow model to predict viscous flow over a shrinking sheet, and the closed solution is an exact solution of the full governing Navier-Stokes equations.

TL;DR: Chebyshev wavelet operational matrix of the fractional integration is derived and used to solve a nonlinear fractional differential equations as mentioned in this paper, and some examples are included to demonstrate the validity and applicability of the technique.

TL;DR: In this article, a numerical study is conducted to investigate the transport mechanism of mixed convection in a lid-driven enclosure filled with nanofluids, where two vertical walls of the enclosure are insulated while the horizontal walls are kept at constant temperatures with the top surface moving at a constant speed.

TL;DR: In this article, the authors utilized active control technique to synchronize different fractional order chaotic dynamical systems and investigated the interrelationship between the (fractional) order and synchronization.

TL;DR: In this paper, the generalized form of the nonlinear Schrodinger's equation was studied for the special cases of Kerr law, power law, parabolic law and dual-power laws.

TL;DR: In this article, a traveling-wave solution of the class of equations ∑ p = 1 n 1 α p ∂ p Q ∂ t p + ∑ q = 1 N 2 β q ∂ q Q ∆ x q + ∆ m = 1 M μ m Q m = 0 where α p, β q and μ m are parameters.

TL;DR: In this article, a 135-sector inventory and embodiment analysis for carbon emissions and resources use by Chinese economy 2007 is presented by an ecological input-output modeling based on the physical entry scheme.

TL;DR: To reduce the chattering phenomenon in sliding mode control (SMC), a fuzzy logic controller is used to replace the discontinuity in the signum function at the reaching phase in the sliding mode controller.

TL;DR: In this paper, a mathematical model is analyzed in order to study the heat and mass transfer characteristics in mixed convection boundary layer flow about a linearly stretching vertical surface in a porous medium filled with a viscoelastic fluid, by taking into account the diffusion-thermo (Dufour) and thermal diffusion (Soret) effects.

TL;DR: In this article, it is shown that neither Riemann-Liouville nor Caputo definitions for fractional differentiation can be used to take into account initial conditions in a convenient way from a physical point of view.

TL;DR: In the two attacks, only a pair of (plaintext/ciphertext) was needed to totally break the cryptosystem.

TL;DR: The proposed algorithm is to modify the velocity formula of the general PSO systems in order for improving the searching efficiency and the results testify that the improved PSO algorithm can perform well in the nonlinear PID control system design.

TL;DR: For the embodiment of natural resources and environmental emissions in Chinese economy 2005, a biophysical balance modeling is carried out based on an extension of the economic input-output table into an ecological one integrating the economy with its various environmental driving forces as discussed by the authors.

TL;DR: In this paper, the authors described the stagnation point flow of a viscous fluid towards a stretching sheet and the complete analytical solution of the boundary layer equation has been obtained by homotopy analysis method (HAM).

TL;DR: In this paper, the boundary layer flow over a flat plat with slip flow and constant heat flux surface condition is studied, where the momentum and energy equations are coupled due to the presence of the temperature gradient along the plate surface.

TL;DR: A new image encryption algorithm using a large pseudorandom permutation which is combinatorially generated from small permutation matrices based on chaotic maps to provide comparable security with that of the conventional image encryption schemes based on Baker map or Logistic map.

TL;DR: In this paper, a dynamical model of happiness described through fractional-order differential equations is presented, which is an endeavor to combine the psychological knowledge with control problems and system theories and some implications for psychotherapy as well as hints of a personal approach to life are both proposed.

TL;DR: An analytical study for the problem of unsteady mixed convection with thermal radiation and first-order chemical reaction on magnetohydrodynamics boundary layer flow of viscous, electrically conducting fluid past a vertical permeable plate has been presented in this article.

TL;DR: In this article, a peristaltic flow of a Williamson model in an asymmetric channel is presented, where a regular perturbation expansion method is used to obtain the analytical solution of the nonlinear problem.

TL;DR: An enhanced key agreement protocol based on Chebyshev chaotic map is introduced that overcomes the drawbacks of several previously proposed chaotic key agreement protocols and works like Diffie–Hellman algorithm.

TL;DR: In this paper, the first integral method for analytic treatment of the modified Benjamin-Bona-Mahony equation is presented, and exact new solutions are formally derived, including exact new solution for the modified BBM.

TL;DR: In this paper, the chaotic dynamics of a micro mechanical resonator with electrostatic forces on both sides is investigated using the Melnikov function, an analytical criterion for homoclinic chaos in the form of an inequality is written in terms of the system parameters.

TL;DR: In this paper, the traveling-wave solutions of two classes of equations, namely reaction-diffusion and reaction-telegraph, were obtained by the modified method of simplest equation for the cases when the simplest equation is the equation of Bernoulli or Riccati.

TL;DR: In this paper, a spectral homotopy analysis method was proposed for solving nonlinear second-order boundary value problems (BVPs) in a horizontal channel filled with a porous medium.

TL;DR: Two new harmony search meta-heuristic algorithms for engineering optimization problems with continuous design variables are described, one of which introduces a new definition of bandwidth (bw) and another employs to enhance accuracy and convergence rate of PHS algorithm.

TL;DR: In this article, the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet is examined analytically and the series solution is obtained using the Adomian decomposition method (ADM) coupled with Pade approximants to handle the condition at infinity.

TL;DR: In this paper, a new hyperchaotic system is presented by adding a nonlinear controller to the three-dimensional autonomous chaotic system, which undergoes hyperchaos, chaos, and some different periodic orbits with control parameters changed.

TL;DR: The experimental results show that the BSO algorithms are effective and robust; produce excellent results, and outperform other algorithms investigated in this consideration.