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18 results for “numerical integration”
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Research ArticleOpen accessPhrase in the titleA Comparison of Explicit Semi-Analytical Numerical Integration Methods for Solving Stiff ODE SystemsE.R. El-Zahar, H.M. Habib, M.M. Rashidi, I.M. El-DesokyIn this study, a comparison among three semi-analytical numerical integration algorithms for solving stiff ODE systems is presented. The algorithms are based on Differential Transform Method (DTM) which are Multiple-Step DTM (MsDTM), Enhanced MsDTM (E-MsDTM) and MsDTM with Padé approximants (MsDTM-P). These methods can be classified as explicit one step semi-analytical numerical integration methods. The error and stability analysis of … …American Journal of Applied Sciences, Vol. 12, Issue 5 · 26 Jun 2015 · 6,955 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleA 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 · 7,559 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleNumerical Analysis of the Integration of Wind Turbines into the Design of the Built EnvironmentHassam Nasarullah Chaudhry, John Kaiser Calautit, Ben Richard HughesThe effect of wind distribution on the architectural domain of the Bahrain Trade Centre was numerically analysed using Computational Fluid Dynamics (CFD). Using the numerical data, the power generation potential of the building integrated wind turbines was determined in response to the prevailing wind direction. Simulating a reference wind speed of 6 m/s, the findings from the study quantified an … …American Journal of Engineering and Applied Sciences, Vol. 7, Issue 4 · 22 Dec 2014 · 7,534 accessesView PDFCite
Research ArticleOpen accessIn the keywordsElastic-Plastic Non Linear Behaviors of Suddenly Loaded StructuresAssal Tehseen HusseinProblem statement: The adaptively shifted integration technique was applied to the elasticplastic analysis of framed structures under dynamic loading. Approach: This study used analysis of linear beam element, the reshifting of the of the integration points in the element is conducted in order to attain higher accuracy. Results: In nonlinear finite element analysis by the ASI technique, the highest computational … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 1 · 31 Jan 2011 · 8,004 accessesView PDFCite
Research ArticleOpen accessIn the keywordsHigher-Order Newton-Cotes FormulasPedro Americo Almeida Magalhaes Junior, Cristina Almeida MagalhaesProblem statement: The present work offers equations of Newton-Cotes Integration until twenty segments. Approach: It shows Newton-Cotes closed and open integration formulas. The new type Newton-Cotes semi-closed or semi-open was proposed. Results: An analysis of error in the technique was made. To estimate the error of integration in discrete data, we propose apply different rules or mix several rules. Conclusion/Recommendations: … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 9,750 accessesView PDFCite
Research ArticleOpen accessIn the abstractDevelopment and Validation of a 2D Finite Element Model for Air Pollution Dispersion (SUITE-2D)Youssef Ismail HafezThis paper presents the development and validation of SUITE-2D (Solving Unsteady Incompressible Transport Equation in Two Dimensions), a two-dimensional finite element model for solving the advection-diffusion transport equation with decay and source terms. The model provides an efficient and accurate approach for simulating pollutant dispersion in environmental systems. The finite element formulation uses the standard Galerkin method, with numerical integration … …American Journal of Environmental Sciences, Vol. 21, Issue 1 · 22 Dec 2025 · 3,127 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical Solution of Higher Order Ordinary Differential Equations by Direct Block CodeN. Waeleh, Z. A. Majid, F. Ismail, M. SuleimanProblem statement: This study is concerned with the development of a code based on 2-point block method for solving higher order Initial Value Problems (IVPs) of Ordinary Differential Equations (ODEs) directly. Approach: The block method was developed based on numerical integration and using interpolation approach which is similarly as Adams Moulton type. Furthermore, the proposed method is derived in order … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 3 Feb 2012 · 8,138 accessesView PDFCite
Research ArticleOpen accessIn the abstractImage Analysis with Legendre Moment DescriptorsAmy Chiang, Simon LiaoIn this research, a numerical integration method is proposed to improve the computational accuracy of Legendre moments. To clarify the improved computation scheme, image reconstructions from higher order of Legendre moments, up to 240, are conducted. With the more accurately generated moments, the distributions of image information in a finite set of Legendre moments are investigated. We have concluded that … …Journal of Computer Science, Vol. 11, Issue 1 · 15 Sep 2014 · 7,360 accessesView PDFCite