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53 results for “Partial Differential Equation”
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Research ArticleOpen accessIn the abstractNew and Efficient Features for Skin Lesion Classification based on SkeletonizationYoussef Filali, Hasnae El Khoukhi, My Abdelouahed Sabri et al.This paper presents a new approach to detect and classify skin lesions for melanoma diagnosis with high accuracy. Skin lesion detection is based on an image decomposition into two components using the Partial Differential Equation (PDE). The first component that sufficiently preserves the contour is thus exploited to have an adequate segmentation of image lesion while the second component provides … …Journal of Computer Science, Vol. 15, Issue 9 · 2 Sep 2019 · 8,028 accessesView PDFCite
Research ArticleOpen accessIn the abstractExploring Mesh Generation and Quality Enhancement with Open Source CodesLeandro Alves Neves, José Márcio Machado, Julio Cesar Momente et al.The finite element method is a very reliable and precise technique for solving partial differential equations in three-dimensional domains, with relevant applications in several areas. However, 3D simulations by FEM require computer programs for solid modeling and automatic mesh generation and there are few examples of open source codes available and dedicated to these tasks. Unfortunately, these open source codes … …Journal of Computer Science, Vol. 14, Issue 7 · 19 Jul 2018 · 8,357 accessesView PDFCite
Research ArticleOpen accessIn the abstractThermal Stability Analysis in a Two-Step Reactive Cylindrical StockpileR.S. Lebelo, R.K. Mahlobo, K.C. MoloiThermal stability analysis in a cylindrical stockpile of reactive material undergoing a two-step low-temperature oxidation reaction is studied in this article. The reactant consumption in this case is neglected and heat transfer with thermal stability are investigated by application of the energy equation. The complicated combustion process results with nonlinear interactions and hence the nonlinear partial differential equation governing the … …American Journal of Applied Sciences, Vol. 15, Issue 2 · 6 Dec 2017 · 7,654 accessesView PDFCite
Research ArticleOpen accessIn the abstractFitted Reproducing Kernel Method for Solving a Class of Third-Order Periodic Boundary Value ProblemsAsad Freihat, Radwan Abu-Gdairi, Hammad Khalil et al.In this article, the reproducing kernel Hilbert space W24 [0, 1] is employed for solving a class of third-order periodic boundary value problem by using fitted reproducing kernel algorithm. The reproducing kernel function is built to get fast accurately and efficiently series solutions with easily computable coefficients throughout evolution the algorithm under constraint periodic conditions within required grid points. The … …American Journal of Applied Sciences, Vol. 13, Issue 5 · 11 May 2016 · 7,647 accessesView PDFCite
Research ArticleOpen accessIn the abstractFREE CONVECTION OF HEAT TRANSFER IN FLOW PAST A SEMI-INFINITE FLAT PLATE IN TRANSVERSE MAGNETIC FIELD WITH HEAT FLUXP. Geetha, M.B.K. Moorthy, M. DakshinamoorthyA steady two-dimensional MHD free convection of heat transfer in flow past a semi-infinite flat plate in transverse magnetic field with heat flux has been examined. The governing partial differential equation are non-dimensionalised and transformed into a system of nonlinear ordinary differential similarity equations, in a single independent variable η and using Runge-Kutta Gill method with shooting technique. The velocity … …American Journal of Applied Sciences, Vol. 11, Issue 9 · 4 Jul 2014 · 7,059 accessesView PDFCite
Research ArticleOpen accessIn the abstractUNSTEADY BOUNDARY LAYER FLOW ALONG A STRETCHING CYLINDER AN ANALYTICAL SOLUTIONM. Y. AklThe axisymetric laminar boundary layer unsteady flow along a continuously stretching cylinder immersed in a viscous and incompressible fluid is studied. The governing partial boundary layer equations in cylindrical form are first transformed into ordinary differential equations these equations are solved analytically using the optimal modified Homotopy Asymptotic method in order to get a closed form solution for the dimensionless … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 17 Feb 2014 · 7,152 accessesView PDFCite
Research ArticleOpen accessIn the abstractMOTION DETECTION USING THE SPACE-TIME INTEREST POINTSInsaf Bellamine, Hamid TairiSpace-Time Interest Points (STIP) are among all the interesting features which can be extracted from videos; they are simple, robust and they allow a good characterization of a set of regions of interest corresponding to moving objects in a three-dimensional observed scene. In this study, we show how the resulting features often reflect interesting events that can be used for … …Journal of Computer Science, Vol. 10, Issue 5 · 17 Jan 2014 · 6,643 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical 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 accessIn the abstractNumerical Solution for 2D European Option Pricing Using Quarter-Sweep Modified Gauss-Seidel MethodKoh Wei Sin, Jumat Sulaiman, Rasid MailProblem statement: This study presents the numerical solution of two-dimensional European option pricing problem based on Quarter-Sweep Modified Gauss-Seidel (QSMGS) iterative method. In fact, the pricing of European option with two-underlying assets can be governed by two-dimensional Black-Scholes Partial Differential Equation (PDE). Approach: The PDE needs to be discretized by using full-, half- and quarter-sweep second-order Crank-Nicolson schemes to generate … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 8 Feb 2012 · 7,773 accessesView PDFCite
Research ArticleOpen accessIn the abstractTransient MHD Mixed Double Diffusive Convection Along a Vertical Plate Embedded in a Non-Darcy Porous Medium with Suction or InjectionKhaled K. JaberProblem statement: Transient non-Darcy mixed double convection from a semi-infinite, isothermal vertical plate embedded in a homogeneous porous medium, in the presence of surface suction or injection had been numerically investigated. Approach: Forchheimer extension was considered in the flow equations. Appropriate transformations were employed to transform the derived partial differential equations governing the problem under consideration on the assumption of … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 10 Dec 2011 · 7,121 accessesView PDFCite