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134 articles for “Numerical Solution”
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Research ArticleOpen accessIn the abstractOptimal Boundary Control of the Incompressible Fluid Problems in Rotation formJia LiuProblem Statement: We consider the optimal boundary control of the linearized Navier-Stokes problem. Both the Stokes problem and Oseen problem in rotation form are considered. Approach: We use the Mark and Cell (MAC) discretization method to discretize the optimization problem with linear constraints including the Stokes problem and the Oseen problem in rotation from. Then Reduced Hessian methods are to … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,277 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Convergence-Confinement Method: Roles and Limits in Modern Geomechanical Tunnel DesignPierpaolo OresteThe convergence-confinement method, based on the analysis of the stress and strain state that develops in the rock around a circular tunnel, has been presented in this study with the two analytical solutions that have been most frequently used in recent years. Problem statement: Thanks to the increased power of electronic processors and the spread of numerical methods, the role … …American Journal of Applied Sciences, Vol. 6, Issue 4 · 30 Apr 2009 · 10,151 accessesView PDFCite
Research ArticleOpen accessIn the abstractDevelopment of Efficient Finite Element Software of Crack Propagation Simulation using Adaptive Mesh StrategyAbdulnaser M. Alshoaibi, A. K. Ariffin, M. N. AlmaghrabiThe purpose of this study is on the determination of 2D crack paths and surfaces as well as on the evaluation of the stress intensity factors as a part of the damage tolerant assessment. Problem statement: The evaluation of SIFs and crack tip singular stresses for arbitrary fracture structure are a challenging problem, involving the calculation of the crack path … …American Journal of Applied Sciences, Vol. 6, Issue 4 · 30 Apr 2009 · 7,822 accessesView PDFCite
Research ArticleOpen accessIn the abstractSimulation of Convective Heat-Transfer Coefficient in a Buried ExchangerTaoufik Mnasri, Rached Ben Younès, Maher Raddaoui, Salem ElouraginiThis study presents analytical models allowing to study a forced convection laminar flow in non-established dynamic and thermic regimes. We treated a flow in a bitubular exchanger in permanent thermal contact with a semi-infinite medium, such as the ground. The wall temperature as well as the wall heat flux evolve in the course of time until a quasi-steady mode. The … …American Journal of Applied Sciences, Vol. 5, Issue 8 · 31 Aug 2008 · 6,901 accessesView PDFCite
Research ArticleOpen accessIn the abstractTransversely Cracked Beam's Finite Elements with a Hinged EndM. Skrinar, T. PliberšekTwo new beam finite-elements to be used for the transverse displacement analysis of slender beams with transverse cracks are presented where the derivations are based on a simplified computational model. The beam stiffness matrixes are presented in symbolic forms for beams with a single transverse crack and a hinge at one of the nodes. Since in the derivations the corresponding … …American Journal of Applied Sciences, Vol. 5, Issue 1 · 31 Jan 2008 · 6,913 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordNumerical Investigation of an Industrial Robot Arm Control Problem Using Haar Wavelet SeriesS. Nandhakumar, V. Selladurai, S. SekarProblem statement: An error minimization in robot arm dynamics improves operations and performance of production systems. Many contributions have been made in area of robot dynamics since the earliest study more than two decades, but, a number of researchers are still contributing various principles and new techniques for the best use of robots in reality, especially in the field of … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 4 · 31 Dec 2009 · 8,041 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordA Computational Method Based on Bernstein Polynomials for Solving FredholmIntegro-Differential Equations under Mixed ConditionsMiloud Moussai, Lakhdar ChiterIn this study, a computational method for solving linear FredholmIntegro-Differential Equation (FIDE) of the first order under the mixed conditions using the Bernstein polynomials. First, we present some properties of these polynomials and the method is explained. These properties are then used to convert the integro-differential equation to a system of linear algebraic equations with unknown Bernstein coefficients. Using Galerkin … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 27 Feb 2017 · 7,142 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordNumerical Simulation of the Transient Flow in Natural Gas Transmission Lines Using a Computational Fluid Dynamic MethodPedram Ghaseminejad, Nikan NoorbeheshtUntil now, almost all tools that are used to analyze gas transportation networks are based on steady flow conditions. Some design problems can be solved by the assumption of a steady state. However, some circumstances force us to use transient analyses, which commonly include changes in customer demand, the failure of a compressor station or gas pipeline ruptures. In this … …American Journal of Applied Sciences, Vol. 10, Issue 1 · 6 Jan 2013 · 7,457 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordA Solution Methodology of Bi-Level Linear Programming Based on Genetic AlgorithmM. S. Osman, W.F. Abd El-Wahed, Mervat M.K. El Shafei, Hanaa B. Abd El WahabProblem statement: We deal with the bi-level linear programming problem. A bi-level programming problem is formulated for a problem in which two Decision-Makers (DMs) make decisions successively. Approach: In this research we studied and designs a Genetic Algorithm (GA) of Bi-Level Linear Programming Problems (BLPP) by constructing the fitness function of the upper-level programming problems based on the definition of … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,184 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordInteger Factorization: Solution via Algorithm for Constrained Discrete Logarithm ProblemBoris S. VerkhovskyProblem statement: During the last thirty years many public-key cryptographic protocols based on either the complexity of integer factorization of large semiprimes or the Discrete Logarithm Problem (DLP) have been developed. Approach: Although several factorization algorithms with sub-exponential complexity have been discovered, the recent RSA Factoring Challenge demonstrated that it was still necessary to use several thousand computers working in … …Journal of Computer Science, Vol. 5, Issue 9 · 30 Dec 2009 · 7,156 accessesView PDFCite