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300 results for “numerical method”
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Research ArticleOpen accessIn the abstractAnalytical Solution Based on a New Series along with the Numeric Solution of the Non-Homogeneous Transient Heat Conduction Equation, in Hollow Cylinder under General Mixed Boundary ConditionsMehdi Zare, F. KardanIn this study, the problem of transient conduction heat transfer for an infinite hollow cylinder under non-homogeneous mixed boundary conditions at the both surfaces simultaneously in radial direction with general heat source depend on time and radius, also general initial condition by the method of superposition and separation variables, is solved and temperature distribution is obtained analytically. A new series … …American Journal of Engineering and Applied Sciences, Vol. 11, Issue 2 · 20 Apr 2018 · 9,486 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Review of the Recent Advances Made in the Black-Scholes Models and Respective Solutions MethodsYasir Hamad Al Saedi, Gurudeo Anand TularamThe Black-Scholes model has been a major advance in finance over a period of time; this paper examines this model in some detail, in terms of the latest developments in both analytical and numerical solutions. The paper initially briefly examines historical aspects but quickly moves to a critical analysis of the works in the applications, solutions and implications for the … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 8 Jan 2018 · 8,621 accessesView PDFCite
Research ArticleOpen accessIn the abstractApplication of Homotopy Perturbation Method for SIR Model with Vital Dynamics and Constant PopulationMohammed S. Mechee, Ghassan A. Al-JuaifriIn this work, we have studied Susceptible-Infected-Recovered (SIR) model with vital dynamics and constant population, which is used as a mathematical models in many physically significant fields of applied science. The Homotopy Perturbation Method (HPM) and Runge-Kutta method (RK) have been used for solving the SIR model with vital dynamics and constant population. The convergence of HPM has been studied. … …American Journal of Applied Sciences, Vol. 15, Issue 1 · 3 Jan 2018 · 8,003 accessesView PDFCite
Research ArticleOpen accessIn the abstractControlling Chaos of the Ricker Population Model by OGY MethodGuo FengThe chaotic dynamics of the Ricker mapping are studied. Controlling chaos of the Ricker population model is searched by OGY control method. The dynamic behavior in the Ricker mapping is very complex in different values of a. When the value of a is changed from 0.455 to 90, the mapping goes through doubling bifurcation to Neimark-Sacker bifurcation. Several strange attractors … …American Journal of Biochemistry and Biotechnology, Vol. 16, Issue 3 · 8 Sep 2020 · 6,217 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Robust Modification of Hestenes–Stiefel Conjugate Gradient Method with Strong Wolfe Line SearchAwad Abdelrahman, Osman O.O. Yousif, Khalid I. OsmanNonlinear Conjugate Gradient (CG) methods are extensively used for solving large-scale unconstrained optimization problems. Numerous of studies constructed scales and modifications have been conducted recently to improve (CG) methods. In this paper, a simple modified by its conjugate gradient method was proposed. In addition to, established global convergence property and sufficient descent condition, under Strong Wolfe line search. Numerical result … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 14 May 2020 · 6,743 accessesView PDFCite
Research ArticleOpen accessIn the abstractComparison of Analytical and Numerical Results for the Charring Rate of the Timber-Concrete BeamZuzana Kamenická, Jaroslav Sandanus, Lukáš Blesák et al.Modelling the thermal response of timber is a primary issue for the assessment of the mechanical resistance of timber structures exposed to fire. Therefore, this paper analyses various advanced calculation methods of determining the charring rate. Authors of this contribution use analytical calculation methods according to two different publications and also a numerical calculation by means of program based on … …International Journal of Structural Glass and Advanced Materials Research, Vol. 2, Issue 1 · 4 Jun 2018 · 6,688 accessesView PDFCite
Research ArticleOpen accessIn the abstractMathematical Formulation and Numerical Implementation of a Finite Element with Anisotropic GeometryDavide TuminoA plane quadrangular element with geometric anisotropy has been developed to perform 2D Finite Elements Analyses in cases where high stress concentrations, varying with very different laws along two orthogonal directions, are present. The element has been implemented into a finite element code. To validate the element behavior, analyses in the adhesive of a single lap joint and in a … …Journal of Aircraft and Spacecraft Technology, Vol. 4, Issue 1 · 13 Mar 2020 · 7,302 accessesView PDFCite
Research ArticleOpen accessIn the abstractOptimal Meshing of Structured Boundary Domains in Numerical AnalysesArnulf Kost, Kokou Tcharie, Ayité Senah Akoda Ajavon et al.The analysis of a practical problem using numerical methods such as Finite Element Method (FEM) or Boundary Element Method (BEM) involves the subdivision of the space occupied by a physical system (named domain) or its boundary into sub-domains or sub-boundaries called elements. This task, known as mesh generation or domain-discretization, is no more trivial if domains of real or industrial … …American Journal of Engineering and Applied Sciences, Vol. 10, Issue 4 · 23 Oct 2017 · 7,849 accessesView PDFCite
Research ArticleOpen accessIn the abstractConvective Heat Transfer and Thermal Performance in a Circular Tube Heat Exchanger Inserted with U-Shaped BaffleAmnart Boonloi, Withada JedsadaratanachaiNumerical investigations on flow structure and heat transfer characteristic in a heat exchanger tube fitted with U-shaped baffle are presented. The U-shaped baffle is created from the concepts of orifice and inclined baffle. The influences of the baffle height (b/D = 0.05, 0.10, 0.15, 0.20 and 0.25) and flow attack angle (α = 20°, 30° and 45°) of the U-shaped … …Journal of Mathematics and Statistics, Vol. 13, Issue 3 · 23 Sep 2017 · 6,951 accessesView PDFCite
Research ArticleOpen accessIn the abstractLaminar Forced Convection and Heat Transfer Characteristics in a Square Channel Equipped with V-Wavy SurfaceAmnart Boonloi, Withada JedsadaratanachaiThe numerical investigations on flow pattern and heat transfer characteristic in a heat exchanger channel equipped with V-wavy surface are examined. The influences of the flow attack angles (α = 15°, 20°, 25°, 30°, 35°, 40°, 45°, 50°, 55° and 60°) and wavy surface arrangements (V-tip pointing downstream called "V-Downstream", V-tip pointing upstream called "V-Upstream) are investigated for laminar regime, … …Journal of Mathematics and Statistics, Vol. 13, Issue 3 · 27 Jul 2017 · 6,806 accessesView PDFCite