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300 results for “numerical method”
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Research ArticleOpen accessIn the abstractRobustness of XFEM Method for the Simulation of Cracks Propagation in Fracture Mechanics ProblemsAniello Riccio, Umberto Caruso, Antonio Raimondo, Andrea SellittoIn the present paper a numerical sensitivity analysis is presented with the aim to assess the effectiveness of the X-FEM method for fracture mechanics applications. Different test cases have been adopted for the numerical analyses to point out the X-FEM method behavior in 2-D and 3-D elastic and elasto-plastic conditions. Comparisons with a standard ductile damage model have been carried … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 3 · 15 Aug 2016 · 8,295 accessesView PDFCite
Research ArticleOpen accessIn the abstractAdapted Newton-Kantorovich Methods for Nonlinear Integral EquationsMostefa Nadir, Amina KhiraniFor this work, the main idea is to make an adapted modification to the Newton-Kantorovich method destined to solve a nonlinear integral equations, so that by this technical method we obtain a simple application to this solution. Moreover, we compare the numerical results obtained by this method against ones obtained by another authors. This comparison showed the efficiency of this … …Journal of Mathematics and Statistics, Vol. 12, Issue 3 · 2 Jul 2016 · 7,300 accessesView PDFCite
Research ArticleOpen accessIn the abstractApproximate Series Solution of Nonlinear, Fractional Klein-Gordon Equations Using Fractional Reduced Differential Transform MethodEman Abuteen, Asad Freihat, Mohammed Al-Smadi et al.This analysis proposes an analytical-numerical approach for providing solutions of a class of nonlinear fractional Klein-Gordon equation subjected to appropriate initial conditions in Caputo sense by using the Fractional Reduced Differential Transform Method (FRDTM). This technique provides the solutions very accurately and efficiently in convergent series formula with easily computable coefficients. The behavior of the approximate series solution for different … …Journal of Mathematics and Statistics, Vol. 12, Issue 1 · 26 Mar 2016 · 7,907 accessesView PDFCite
Research ArticleOpen accessIn the abstractNew Hybrid Block Method with Three Off-Step Points for Solving First Order Ordinary Differential EquationsRa’ft Abdelrahim, Zurni Omar, John Olusola KuboyeA new single-step hybrid block method with three off-step points for the solution of first order ordinary differential equations is proposed. The strategy employed to develop this method is interpolating the power series approximate solution at xn and off-step points and collocating the derivative of the power at xn+1. The class of linear multistep method derived is then simultaneously applied … …American Journal of Applied Sciences, Vol. 13, Issue 2 · 18 Feb 2016 · 8,237 accessesView PDFCite
Research ArticleOpen accessIn the abstractVerification of Anchoring in Foundations of Wind Turbine TowersNafsika Stavridou, Evangelos Efthymiou, Charalampos C. BaniotopoulosTubular steel towers are the most common supporting structure of wind converters. The towers’ foundation covers an important part of the initial cost and its configuration depends heavily on the type of subsoil. Onshore structures are founded on spread footing foundations or pile foundations with the first being the commonest. In these spread footing foundations, the tower is either embedded … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 4 · 23 Nov 2015 · 8,398 accessesView PDFCite
Research ArticleOpen accessIn the abstractMultistep Collocation Block Method for Direct Solution of Second Order Ordinary Differential EquationsJohn Olusola Kuboye, Zurni OmarIn this study, block method of order six for solving second order ordinary differential equations is developed. The method of interpolation of approximated power series and collocation of its second derivative is adopted in the derivation of the method. The developed method is applied in block form to produce approximate solution at five points simultaneously. The stability properties of the … …American Journal of Applied Sciences, Vol. 12, Issue 9 · 13 Oct 2015 · 6,569 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 abstractFINITE VOLUME METHOD OF MODELLING TRANSIENT GROUNDWATER FLOWN. Muyinda, G. Kakuba, J. M. MangoIn the field of computational fluid dynamics, the finite volume method is dominant over other numerical techniques like the finite difference and finite element methods because the underlying physical quantities are conserved at the discrete level. In the present study, the finite volume method is used to solve an isotropic transient groundwater flow model to obtain hydraulic heads and flow … …Journal of Mathematics and Statistics, Vol. 10, Issue 1 · 15 Feb 2014 · 7,111 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Non-Linear Absolutely-Stable Explicit Numerical Integration Algorithm for Stiff Initial-Value ProblemsEssam R. El-ZaharThe time-step in integration process has two restrictions. The first one is the time step restriction due to accuracy requirement τac and the second one is the time-step restriction due to stability requirement τst. The most of explicit methods have small stability regions and consequently small τst. It obliges us to solve stiff problems with small step size τst << … …American Journal of Applied Sciences, Vol. 10, Issue 11 · 11 Sep 2013 · 7,565 accessesView PDFCite