Browsing Mathematics, Statistics & Physics by Publication Date
Now showing items 21-40 of 403
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Numerical comparison of methods for solving a special fourth-order boundary value problem
( Elsevier Inc. , 2007 , Article)In this paper, we implement relatively new analytical techniques, the differential transform method, Adomian decomposition, and homotopy perturbation method, for solving a fourth-order boundary value problem. In these ... -
Solving systems of fractional differential equations using differential transform method
( Elsevier B.V. , 2007 , Article)This paper presents approximate analytical solutions for systems of fractional differential equations using the differential transform method. The fractional derivatives are described in the Caputo sense. The application ... -
Solving fractional diffusion and wave equations by modified homotopy perturbation method
( Elsevier B.V. , 2007 , Article)This Letter applies the modified He's homotopy perturbation method (HPM) suggested by Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and wave equations. The fractional derivative is ... -
On multistage ranked set sampling for distribution and median estimation
( Elsevier B.V. , 2007 , Article)A variation of ranked set sampling (RSS), multistage RSS (MSRSS), is investigated for the estimation of the distribution function and some of its quantiles, in particular the median. It is shown that this method is ... -
Analytical approach to the Darcy–Lapwood–Brinkman equation
( Elsevier , 2007 , Article)Three exact solutions are obtained for flow through porous media, as governed by the Darcy–Lapwood–Brinkman model, for a given vorticity distribution. The resulting flow fields are identified as reversing flows; stagnation ... -
Preparation, spectroscopic and structural studies on charge-transfer complexes of 2,9-dimethyl-1,10-phenanthroline with some electron acceptors
( Elsevier , 2007 , Article)Charge-transfer (CT) complexes formed in the reactions of 2,9-dimethyl-1,10-phenanthroline (Me2phen) with some acceptors such as chloranil (Chl), picric acid (HPA) and chloranilic acid (H2CA) have been studied in the defined ... -
An adaptive Monte Carlo integration algorithm with general division approach
( Elsevier , 2007 , Article)We propose an adaptive Monte Carlo algorithm for estimating multidimensional integrals over a hyper-rectangular region. The algorithm uses iteratively the idea of separating the domain of integration into 2ssubregions. The ... -
Sinc-based computations of eigenvalues of Dirac systems
( Springer Netherlands , 2007 , Article)The celebrated classical sampling theorem is used to compute approximate values of the eigenvalues of Dirac systems with eigenvalue parameter in the boundary conditions. We deal with problems with an eigenparameter in one ... -
The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system
( Elsevier , 2007 , Article)In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-perturbation method (HPM) is presented. The HPM is treated as an algorithm in a sequence of intervals (i.e. time step) for finding ... -
Homotopy analysis method for fractional IVPs
( Elsevier , 2007 , Article)In this paper, the homotopy analysis method is applied to solve linear and nonlinear fractional initial-value problems (fIVPs). The fractional derivatives are described by Caputo’s sense. Exact and/or approximate analytical ... -
Convergence theorems for nonself asymptotically nonexpansive mappings
( Elsevier B.V. , 2007 , Article)In this paper, we prove some strong and weak convergence theorems using a modified iterative process for nonself asymptotically nonexpansive mappings in a uniformly convex Banach space. This will improve and generalize the ... -
Alternative method of diffraction-enhanced imaging
( Elsevier B.V. , 2007 , Article)Diffraction-enhanced imaging (DEI) is a radiographic technique that derives contrast from an object's X-ray absorption, refraction gradient and small-angle scatter properties (extinction). The DEI imaging system prepares ... -
Likelihood and Bayesian estimation of using lower record values from the generalized exponential distribution
( Elsevier Ltd , 2007 , Article)We consider the likelihood and Bayesian estimation of the stress-strength reliability based on lower record values from the generalized exponential distribution. The estimators are derived and their properties are studied. ... -
On the Lp boundedness of rough parametric Marcinkiewicz functions
( Victoria University , 2007 , Article)In this paper, we study the Lp boundedness of a class of parametric Marcinkiewicz integral operators with rough kernels in L(log + L)(Sn-1). Our result in this paper solves an open problem left by the authors of ([6]). -
Standard numerical schemes for coupled parallel flow over porous layers
( Elsevier , 2007 , Article)In this work, we develop finite difference schemes of various orders of accuracy that are suitable for the simulation of flow through and over porous layers. The flow through the porous layer is assumed to be governed by ... -
Application of Homotopy Perturbation Method to Singularly Perturbed Volterra Integral Equations
( Asian Network for Scientific Information , 2008 , Article)In this study, the Homotopy-Perturbation Method (HPM) proposed by J.-H. He is adopted for solving singularly perturbed Volterra integral equations (SVIEs). Three numerical examples are given to demonstrate the effectiveness ... -
Estimation of Pr(X ≤ Y) using record values in the one and two parameter exponential distributions
( Taylor & Francis , 2008 , Article)Abstract We consider the problem of estimating the stress-strength reliability when the available data is in the form of record values. The one parameter and two parameters exponential distribution are considered. In the ... -
On the numerical simulation of population dynamics with density-dependent migrations and the Allee effects
( IOP Publishing , 2008 , Article)In this paper, the variational iteration method (VIM) and the Adomian decomposition method (ADM) are presented for the numerical simulation of the population dynamics model with density-dependent migrations and the Allee ... -
Overlapping Schwarz waveform relaxation method for the solution of the convection-diffusion equation
( John Wiley & Sons, Ltd. , 2008 , Article)In this article we study the convergence of the overlapping Schwarz wave form relaxation method for solving the convection-diffusion equation over multi-overlapped subdomains. It is shown that the method converges linearly ... -
Numerical bifurcation of predator-prey fractional differential equations with a constant rate harvesting
( IOP Publishing , 2008 , Article)In this article saddle and Hopf bifurcation points of predator-prey fractional differential equations system with a constant rate harvesting are investigated. The numerical results based on Grunwald-Letnikov discretization ...
