Showing papers in "Applied Mathematics and Computation in 2012"

TL;DR: The experimental results show that PSOGSA outperforms both PSO and GSA for training FNNs in terms of converging speed and avoiding local minima and it is also proven that an FNN trained withPSOGSA has better accuracy than one trained with GSA.

TL;DR: The multiple exp-function algorithm, as a generalization of Hirota’s perturbation scheme, is used to construct multiple wave solutions to the (3 + 1)-dimensional generalized KP and BKP equations.

TL;DR: Free vibration analysis of functionally graded (FG) size-dependent nanobeam using finite element method to show the significance of the material distribution profile, nonlocal effect, and boundary conditions on the dynamic characteristics of nanobeams.

TL;DR: The boundary layers over a continuously stretching sheet with a power law surface velocity were revisited for a sheet with variable thickness and the non-flatness of the stretching surface has significant impacts on the boundary layer development along the wall, on the velocity profiles, and on the shear stress distribution in the fluid.

TL;DR: Compared to the basic Binary Particle Swarm Optimization (BPSO), this improved algorithm introduces a new probability function which maintains the diversity in the swarm and makes it more explorative, effective and efficient in solving KPs.

TL;DR: The numerical approximate solutions to the Burgers’ equation have been computed without transforming the equation and without using the linearization.

TL;DR: The coefficient estimate problems associated with an interesting general subclass B Σ h , p ( λ ) of analytic and bi-univalent functions in the open unit disk U are investigated, which is introduced here.

TL;DR: This work establishes a sufficient and necessary criterion for the existence of linear subspaces of exponential traveling wave solutions to Hirota bilinear equations, and shows that multivariate polynomials whose zeros form a vector space can generate the desired Hirota bilanear equations with given linear subSpaces of solutions.

TL;DR: From a convex representation of the sector-restricted nonlinearity in system dynamics, the stability condition based on Lyapunov stability theory is obtained by utilization of linear matrix inequality formulation to find the controller which achieves the synchronization of a complex dynamical network with coupling time-varying delay.

TL;DR: The algorithm of GMC(1,n) is applied to explain why the existing GM(1adays) model is incorrect, which is seriously wrong even for a system having a nonnegative associated series with constant entries.

TL;DR: This paper modify the definition of weighted statistical convergence and finds its relationship with the concept of statistical summability ( N ¯ , p n ) due to Moricz and Orhan (2004) to prove a Korovkin type approximation theorem.

TL;DR: A chemotaxis model and a Turing system from biology and a local radial basis function method are applied to numerically approximate the solutions of time-dependent advection–diffusion–reaction and diffusion-reaction equations.

TL;DR: The g -good-neighbor conditional diagnosability of Q n is several times larger than the classical diagnosable, and is proved to be 4( n − 2) + 1 under the PMC model.

TL;DR: Through two well-known numerical examples used in other literature, it will be shown the proposed stability criteria achieves the improvements over the existing ones and the effectiveness of the proposed idea.

TL;DR: The mathematical models have been derived for obtaining the optimal cycle time so that the annual total relevant cost is minimized and numerical examples along with graphical representation and sensitivity analysis are provided to illustrate the model.

TL;DR: Considering reliability as a decision variable, the author constructs an integrated profit function which is maximized by control theory and provides a numerical example along with graphical representation and sensitivity analysis to illustrate the model.

TL;DR: An alternative method that combines several theoretical and experimental results to numerically approximate the algorithmic Kolmogorov-Chaitin complexity of all deterministic 2-symbol Turing machines with up to four states is described.

TL;DR: It is concluded that high-precision arithmetic facilities are now an indispensable component of a modern large-scale scientific computing environment.

TL;DR: Results are presented which describe the conjugacy classes and dynamics of the presented optimal method for complex polynomials of degree two and three and the basins of attraction of existing optimal methods and the method are compared to illustrate their performance.

TL;DR: This Bagley Torvik equation has been solved by operational matrix of Haar wavelet method and the obtained result is compared with analytical solution suggested by Podlubny.

TL;DR: Experimental results on the well-known benchmark instances and comparisons with other recently published algorithms show the efficiency and effectiveness of the proposed HSFLA for solving the multi-objective flexible job shop scheduling problem.

TL;DR: This paper establishes a new set of sufficient conditions for the controllability of nonlinear fractional systems by using a fixed point analysis approach and extends the result to study the controlling concept with nonlocal conditions.

TL;DR: In this article, the Coimbra variable order time fractional diffusion equation is considered and an approximate scheme is proposed to solve the problem using Fourier analysis, which is shown to be computationally efficient.

TL;DR: A family of three explicit symmetric linear four-step methods, with nullified phase-lag, are optimized for the efficient solution of the Schrodinger equation and related oscillatory problems and is compared to the corresponding classical methods.

TL;DR: It is seen that the size effects are significant in vibration analysis of nano-scaled annular sector plates and need to be included in the mechanical model.

TL;DR: A robust adaptive sliding mode controller (RASMC) is introduced to synchronize two different chaotic systems in the presence of unknown bounded uncertainties and external disturbances to eliminate the chattering.

TL;DR: The interesting point of this paper is that f may be singular at x i = 0, for i = 1, 2, …, n .

TL;DR: The second kind Chebyshev wavelet method is presented for solving linear and nonlinear fractional differential equations and the operational matrix of fractional order integration is utilized to reduce the fractions of differential equations to system of algebraic equations.

TL;DR: The numerical solution of the time–space fractional order (fractional for simplicity) telegraph equation is studied, which can be used in signal analysis for transmission and propagation of electrical signals, also the modeling of the reaction diffusion and the random walk of suspension flows.

TL;DR: A simple framework to derive and analyse a class of one-step methods that may be conceived as a generalization of the class of Gauss methods, from which a large subclass of Runge–Kutta methods can be derived.