5 articles for “Stiff Problems”

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Research ArticleOpen accessEvery word 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 PDF Cite

Research ArticleOpen accessIn the keywordsA 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 PDF Cite

Research ArticleOpen accessIn the abstractAn Embedded Explicit Hybrid Method for Ordinary Differential EquationsF. Samat, F. IsmailProblem statement: Many differential systems that appear in practice were special second-order ordinary differential equations of the form y" = f (x, y). In the past research, there was a continuous need for methods for numerically solving these equations. Approach: This study describes the derivation and implementation of a pair of embedded explicit hybrid methods for solving non-stiff second-order ordinary … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 23 Dec 2011 · 7,417 accessesView PDF Cite

Research ArticleOpen accessIn the abstractA Note on the Improvement of Evaluation System in Wholesale Markets of Agricultural and Fishery ProductsYoon-Doo Kim, Seok YoonProblem statement: He transaction of public wholesale markets accounts for the highest rate in the distribution of agricultural and fishery products. Though the physical distribution system has improved through the revolution in distribution of 32 nationwide wholesale markets, the evaluation system in wholesale markets has not been established properly. With a rapid change of distribution environment surrounding wholesale markets such … …American Journal of Applied Sciences, Vol. 6, Issue 8 · 31 Aug 2009 · 6,885 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordPassage to the Differences for the BDF's MethodsAbdelouahab SalmiIn this study, we give an improvement to the backward differentiation formula (BDF). We use a formula for the differences that permits us to determine the new coefficients αi^ and γi ^in function of the classical coefficients αi and γi of this method. Our proposed approach decreases the error and the cost of computation. Numerical results for concrete problems are … …Journal of Mathematics and Statistics, Vol. 2, Issue 3 · 30 Sep 2006 · 6,412 accessesView PDF Cite