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141 results for “Numerical solution”
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Research ArticleOpen accessIn the abstractEconomic Order Quantity with Linearly Time Dependent Demand Rate and ShortagesR. P. Tripathi, D. Singh, Tushita MishraThis paper presents an inventory model with linearly time dependent rate and shortages under trade credits. We show that the total cost per unit is convex function of time. Some properties have also been discussed based an optimal solution. The results are discussed with the help of numerical examples. Sensitivity analyses with a variety of numerical results showing the effect … …Journal of Mathematics and Statistics, Vol. 11, Issue 1 · 26 Jun 2015 · 7,008 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Numerical Approach for Evaluating the Convergence-Confinement Curve of a Rock Tunnel Considering Hoek-Brown Strength CriterionPierpaolo OresteThe convergence-confinement method is frequently used for the analysis of the behavior of a tunnel and to define the support structures necessary to guarantee its stability. The reasons why it is used extensively, at least in the preliminary study phases of a tunnel are: The fundamental parameters of the problem (the diameter and depth of the tunnel, as well as … …American Journal of Applied Sciences, Vol. 11, Issue 12 · 14 Jan 2015 · 6,646 accessesView PDFCite
Research ArticleOpen accessIn the abstractEvaluation of the Tunnel Face Stability through a Ground Stress Analysis with a Hemispherical Geometry ApproximationPierpaolo OresteThe evaluation of the stability of the excavation face is an important aspect in the design of a tunnel. When it is not possible to ensure excavation face stability in natural conditions, it is in fact necessary to intervene with remarkably costly reinforcement operations. The analysis of the stability conditions of an excavation face can be conducted, with a certain … …American Journal of Applied Sciences, Vol. 11, Issue 12 · 8 Jan 2015 · 6,730 accessesView PDFCite
Research ArticleOpen accessIn the abstractREFLECTION OF A WEAK DISCONTINUITY OF THE AXIS AND THE PLANE OF SYMMETRYBulat Pavel ViktorovichIn this article we consider the problem of discontinuous characteristic (weak discontinuity) reflection from the axis and the plane of symmetry of the supersonic flow. There is a known problem of perturbations radial focusing when during numerical calculations reflection of a weak perturbation wave from the axis of symmetry leads to an abrupt change in the distribution of dynamics variables … …American Journal of Applied Sciences, Vol. 11, Issue 6 · 17 Apr 2014 · 6,537 accessesView PDFCite
Research ArticleOpen accessIn the abstractAssisted History Matching for Petroleum Reservoirs in the Social Computing EraMichel Cancelliere, Dario Viberti, Francesca VergaThe exploitation strategy of hydrocarbon reservoirs can be technically and economically optimized only if a reliable numerical model of the reservoir under investigation is available to predict the system response for different production scenarios. A numerical model can be reasonably trustworthy after calibration only, which means the model has at least proved its ability to reproduce the historical behavior of … …American Journal of Applied Sciences, Vol. 10, Issue 8 · 24 Jul 2013 · 7,089 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical Prediction Model for Temperature Distributions in Concrete at Early AgesWondwosen Ali, Girum UrgessaA finite element-finite difference numerical model is developed for predicting non-uniform temperature development in hydrating concrete with respect to time and space. The results obtained from this model can be used by structural and construction engineers to predict critical thermal stresses induced due to differential temperatures between the core and the surface of the concrete at early ages and between … …American Journal of Engineering and Applied Sciences, Vol. 5, Issue 4 · 2 Jan 2013 · 7,358 accessesView PDFCite
Research ArticleOpen accessIn the abstractPolicy Decisions for a Price Dependent Demand Rate Inventory Model with Progressive Payments SchemeMukesh Kumar, Rajat KumarProblem statement: In this proposed research, we developed an inventory model to formulate an optimal ordering policies for supplier who offers progressive permissible delay periods to the retailer to settle his/her account. We assumed that the annual demand rate as a decreasing function of price with constant rate of deterioration and time-varying holding cost. Shortages in inventory are allowed which … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 17 Feb 2012 · 7,053 accessesView PDFCite
Research ArticleOpen accessIn the abstractVariational Homotopy Perturbation Method for the Zakharove-Kuznetsov EquationsMashaallah Matinfar, Maryam GhasemiProblem statement: In this research, the Variational Homotopy Perturbation Method (VHPM) which is a combination of Variational Iteration Method (VIM) and Homotopy Perturbation Method (HPM) used for the Zakharove-Kuznetsov equations (ZK-equations). Approach: These two methods are proposed by chinese researcher J.H.He. M.A.Noor improved these two methods and established the VHPM. The numerical solution of ZK-equation is of great importance dut … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 24 Dec 2010 · 7,261 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Numerical Treatment of Air Flow Model in the Area Under the Station Platform of Thailand BTS Sky TrainNopparat PochaiProblem statement: The area under Phayathai station platform of sky train in Bangkok, Thailand, has a problem of air pollution control. Approach:The Bangkok Mass Transit System Company tries to set up the electric fans inside the area for air flow improvement. Results: The flow of the air is still not smooth and the air quality is still lower than standard. … …American Journal of Applied Sciences, Vol. 7, Issue 11 · 8 Nov 2010 · 7,096 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Zero-Stable Optimal Order Method for Direct Solution of Second Order Differential EquationsKayode Sunday JacobProblem statement: In this study, a numerical method for direct solution of general second order differential equations was considered in order to circumvent the problems of computational burden and computer time wastage associated with method of reduction to system of first order equations. The issue of zero stability of higher order methods is considered in the development of the method. … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,071 accessesView PDFCite