Showing papers in "Applied Mathematics and Computation in 2002"

TL;DR: Clusters: Types, Sizes and Experiments as mentioned in this paper, and their properties: Metal Clusters I: Models, properties, and history. Clusters in Action: Past, Present and Future.

TL;DR: Singular initial value problems, linear and nonlinear, homogeneous and nonhomogeneous, are investigated by using Adomian decomposition method and a new general formula is established.

TL;DR: A class of nonlinear fractional differential equations (FDEs) based on the Caputo fractional derivative is considered and by extending the application of the Adomian decomposition method an analytical solution is derived in the form of a series with easily computable terms.

TL;DR: The use of CVTs in grid generation in connection with finite element approximations of partial differential equations is explored and their application to mesh generation is discussed.

TL;DR: The Kanwal and Liu method for the solution of Fredholm integral equation is applied to certain nonlinear Volterra-Fredholm integral equations.

TL;DR: It is shown that for a different, natural choice a new method results with global error estimates similar to both Guermond's method and the streamline diffusion/SUPG method.

TL;DR: Several sufficient conditions guaranteeing the network's global exponential stability are established and can easily be used to design and verify globally stable networks.

TL;DR: The order of convergence of the Decomposition method is contemplated, and the results are applied to some problems.

TL;DR: This paper deals with eigenvalues and normalized eigenfunctions for a Sturm-Liouville eigenvalue problem and compared the results with some known analytical results.

TL;DR: This paper modifications the standard Adomian method for solution of the nonlinear equation f(x)=0.

TL;DR: This survey paper contains a surprisingly large amount of material and indeed can serve as an introduction to some of the ideas and methods of singular perturbation theory and has covered only singularly perturbed one-dimensional problems.

TL;DR: The modified decomposition method combined with the noise terms phenomena may provide the exact solution by using two iterations only for mixed nonlinear Volterra-Fredholm integral equations.

TL;DR: In this article, a ratio-dependent predator-prey system with disease in the prey is formulated and analyzed, and mathematical analyses of the model equations with regard to invariance of nonnegativity, boundedness of solutions, nature of equilibria, permanence and global stability are analyzed.

TL;DR: This paper finds that a good choice is a weighted two-norm objective function, with weights based on the maximum likelihood (ML) criterion, for the NLLS problem, which is highly ill conditioned and it is crucial to find good starting values for the parameters.

TL;DR: The influence of an inserted endoscope and a Carreau fluid on the peristaltic pumping is investigated under zero Reynolds number and infinitely long wavelength assumptions.

TL;DR: The differential transformation technique which is applied to solve eigenvalue problems and to solve partial differential equations (P.D.E.) is proposed in this study, using the one-dimensional differential transformation to construct the eigenvalues and the normalized eigenfunctions for the differential equation of the second- and the fourth-order.

TL;DR: Results show that, for the driven cavity, two defect-correction steps antidiffuse the artificial viscosity approximation nearly optimally, and on a very coarse mesh, results indistinguishable from a benchmark, very fine mesh calculation.

TL;DR: The compactly supported radial basis functions (CSRBFs) are presented in solving a system of shallow water hydrodynamics equations and the resulting banded matrix has shown improvement in both ill-conditioning and computational efficiency.

TL;DR: This paper will study the focusing branch of the genuinely nonlinear dispersive K(n,n) equation that exhibits compactons: solitons with finite wavelengths that is studied in one-, two- and three-dimensional spaces.

TL;DR: This paper describes how this correction procedure can be combined with kernel correction to formulate a complete form of the corrected smooth particle hydrodynamics (CSPH) method.

TL;DR: In this work, the defocusing branch of the genuinely nonlinear dispersive K(n,n) equation that exhibits solutions with solitary patterns is investigated and two sets of entirely new formulas are established for all positive integers n,n>1.

TL;DR: Regular and singular asymptotic methods are applied to one- and two-dimensional Fredholm-Volterra integral equation of the first kind that arise in the treatment of various two- dimensional axisymmetric and three-dimensional problems with mixed boundary conditions in the mechanics of continuous media.

TL;DR: The authors aim at presenting a systematic investigation of several families of infinite series which are associated with the Riemann Zeta function, the Digamma (and Polygamma) functions, the harmonic (and generalized harmonic) numbers, and the Stirling numbers of the first kind.

TL;DR: Approval is established for the W-weighted Drazin inverse of an arbitrary rectangular matrix which reduces to the well-known result if the matrix is nonsingular and to the classical Cramer rule if A is invertible.

TL;DR: A boundary layer analysis is presented to investigate numerically the effect of radiation on flow of an optically dense viscous fluid and heat transfer over an isothermal wedge and it is shown that increasing @q"r and R* tends to increasing the local Nusselt number and local friction coefficient.

TL;DR: This paper presents two simple formulas for approximation of the standard normal right tail probabilities, and indicates the method of computing approximations of higher order.

TL;DR: Two finite difference streamline diffusion schemes for solving linear Sobolev equations with convection-dominated term with Stability and optimal error estimates are derived in suitable norms.

TL;DR: Hopf bifurcation is demonstrated in an interacting one-predator-two-prey model with harvesting of the predator at a constant rate and periodic solutions arise from stable stationary states when the harvest rate exceeds a certain limit.

TL;DR: Applications of information-gap models to the game of chicken and the Cuban Missile Crisis of 1962 illustrate how the information- gap models can be conveniently utilized in practice and how strategic insights can be gained through rigorous examination of the robustness of equilibrium solutions to uncertainty in preferences.

TL;DR: With the help of the coincidence degree continuation theorem, a general theorem concerning the existence of solution of the m-point boundary value problems for second-order differential systems with impulses is obtained.