Showing papers in "Journal of Computational and Applied Mathematics in 2009"

TL;DR: In this article, a hybrid projection algorithm for finding a common element of the set of common fixed points of two quasi-f-none-expansive mappings is introduced.

TL;DR: In this article, a numerical scheme to solve the one-dimensional nonlinear Klein-Gordon equation with quadratic and cubic nonlinearity is proposed, which uses the collocation points and approximates the solution using Thin Plate Splines (TPS) radial basis functions (RBF).

TL;DR: The experimental results show that the combined approach provided in this paper improves the forecasting performance of each individual forecast and is free from a rough sets approach's restrictions as well, a promising forecasting approach and a new application of soft sets theory.

TL;DR: The algorithm for identification of an object in a previous paper of A.R. Roy et al. is incorrect and the right choice cannot be obtained in general.

TL;DR: This paper presents a generalization of the Cholesky factor ADI method for Sylvester equations and demonstrates that Galerkin projection via ADI subspaces often produces much more accurate solutions than ADI solutions.

TL;DR: A modified anomalous subdiffusion equation with a nonlinear source term for describing processes that become less anomalous as time progresses by the inclusion of a second fractional time derivative acting on the diffusion term is considered.

TL;DR: In this article, a numerical method for the solution of a distributed-order differential equation of the general form @!"0^mA(r,D"*^ru(t))dr=f(t) where m is a positive real number and the derivative D" *^r is taken to be a fractional derivative of Caputo type of order r.

TL;DR: In this paper, a family of 8-order iterative methods for nonlinear equations is presented, based on King's fourth-order methods and the family of 6-order iteration methods developed by Chun et al. Each iteration requires three evaluations of the function and one derivative.

TL;DR: In this article, the authors established the ODE treatment model with two infective stages and introduced a discrete time delay to the model to describe the time from the start of treatment in the symptomatic stage until treatment effects become visible.

TL;DR: A computational method for solving nonlinear Fredholm integral equations of the second kind which is based on the use of Haar wavelets is presented, which shows efficiency of the method.

TL;DR: It is found that both stochastic permanence and extinction have close relationships with the stationary probability distribution of the Markov chain.

TL;DR: A new concept, that is, statistical completeness is introduced and it is shown that IFNS is statistically complete but not complete.

TL;DR: In this paper, the authors proposed an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the fixed points of a strict pseudo-contraction mapping in the setting of real Hilbert spaces.

TL;DR: In this article, the T policy M/G/1 queue with server breakdowns, and startup times is investigated, where the server is turned on after a fixed length of time until at least one customer is present in the waiting line.

TL;DR: This paper attempts to extend the traditional DEA models to a fuzzy framework, thus producing a fuzzy DEA model based on credibility measure and designed the hybrid algorithm combined with fuzzy simulation and genetic algorithm.

TL;DR: A rigorous error analysis is provided for the proposed spectral Jacobi-collocation approximation for the linear Volterra integral equations (VIEs) of the second kind with weakly singular kernels, which shows that the numerical errors decay exponentially in the infinity norm and weighted Sobolev space norms.

TL;DR: In this paper, a weighted least squares solution to general coupled Sylvester matrix equations is proposed to solve the problem, and the optimal step sizes such that the convergence rates of the algorithms are maximized and established.

TL;DR: In this paper, a mesh-free technique for the numerical solution of the regularized long wave (RLW) equation is presented, which is based on a global collocation method using the radial basis functions (RBFs).

TL;DR: The Kapur cross-entropy minimization model for portfolio selection problem is discussed under fuzzy environment, which minimizes the divergence of the fuzzy investment return from a priori one.

TL;DR: In this paper, the authors describe a well-scaled passage to the limit from continuous time random walk under power law assumptions to space-time fractional diffusion, asymptotic universality of the Mittag-Leffler waiting time law in time-fractional processes, and their method of parametric subordination for generating particle trajectories.

TL;DR: In this paper, a Galerkin boundary node method (GBNM) is proposed for solving boundary value problems, where an equivalent variational form of a BIE is used for representing the governing equation, and the trial and test functions of the variational formulation are generated by the moving least-square (MLS) approximation.

TL;DR: In this article, the existence of pseudo solutions for the nonlinear m-point boundary value problem of fractional type D = 0,a.e.g. on [0,1],@[emailprotected]?(n-1,n],n>=2,x(0)=x^'(0),x^''(0) =x^n^-^2^)(0)=0,x (1)[email protected][email protected]ix(@h"i), where 0 0 with @?"i"="1^m

TL;DR: In this article, a two-dimensional differential transform (TDDT) for double integrals was developed for solving a class of 2D linear and nonlinear Volterra integral equations.

TL;DR: In this article, a radial coordinate transformation is initiated to map cosine geometry of the stenosis into a rectangular grid and an appropriate finite difference scheme has been adopted to solve the unsteady non-Newtonian momentum equations in cylindrical coordinate system.

TL;DR: In this article, the Lie symmetry analysis is performed for the general Burgers' equation and the exact solutions and similarity reductions generated from the symmetry transformations are provided, some new method and techniques are employed simultaneously.

TL;DR: The model has been illustrated with some numerical examples and the results of the series redundancy allocation problem with fixed value of reliability of the components have been compared with the existing results available in the literature.

TL;DR: In this paper, the possibilistic mean value and variance of continuous distribution, rather than probability distributions, were introduced to generate a well diversified asset portfolio within optimal asset allocation.

TL;DR: Stochastic simulation and differential evolution algorithm are integrated to design a hybrid intelligent algorithm to solve the fuzzy chance constrained program model, based on fuzzy credibility theory.

TL;DR: In this paper, the construction of exponentially fitted Runge-Kutta (EFRK) methods for the numerical integration of Hamiltonian systems with oscillatory solutions is considered and two new three-stage RK integrators of the Gauss type with fixed or variable nodes are obtained.

TL;DR: In this paper, a new methodology for ranking decision making units (DMUs) is proposed, which ranks DMUs by imposing an appropriate minimum weight restriction on all inputs and outputs, which is decided by a decision maker (DM) or an assessor in terms of the solutions to a series of linear programming (LP) models that are specially constructed to determine a maximin weight for each DEA efficient unit.