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335 results for “first order”
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Research ArticleOpen accessPhrase in the titleTHE THEORY OF COMPLEX PROBABILITY AND THE FIRST ORDER RELIABILITY METHODAbdo Abou JaoudeThe Kolmogorov’s system of axioms can be extended to encompass the imaginary set of numbers and this by adding to the original five axioms an additional three axioms. Hence, any experiment can thus be executed in what is now the complex set C (Real set R with real probability + Imaginary set M with imaginary probability). The objective here is … …Journal of Mathematics and Statistics, Vol. 9, Issue 4 · 9 Oct 2013 · 6,903 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleNumerical Solution of First Order Initial Value Problems Using a Self-Starting Implicit Two-Step Obrechkoff-Type Block MethodZurni Omar, Oluwaseun AdeyeyeThe conventional two-step implicit Obrechkoff method is a discrete scheme that requires additional starting values when implemented for the numerical solution of first order initial value problems. This paper therefore presents a two-step implicit Obrechkoff-type block method which is self-starting for solving first order initial value problems, hence bypassing the rigour of developing and implementing new starting values for the … …Journal of Mathematics and Statistics, Vol. 12, Issue 2 · 13 Jun 2016 · 8,078 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleNew 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 · 8,234 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleEvaluation of Reliability and Availability Characteristics of Two Different Systems by Using Linear First Order Differential EquationsKhaled M. El-Said, Mohamed S. EL-SherbenyThis study deals with the reliability and availability characteristics of two different series system configurations. The second system differs from the first system due to the additional feature of preventive maintenance. The failure times of a components are assumed to be exponentially distributed with parameters α,β,α' and β', respectively. The replacement time distribution of each server is also exponentially distributed … …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,659 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleCost Analysis of Two-Dissimilar-Unit Cold Standby System with three States and Preventive Maintenance Using Linear First Order Differential EquationsM. Y. HaggagProblem statement: Several researchers have studied the reliability behavior of a three state systems, but no attention was paid to the reliability evaluation due to preventive maintenance. The better maintenance of the system originates better reliability. Also, standby support increases the reliability of the system. Approach: Determine the efficacy of preventive maintenance on the reliability and performance of the system. … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 6,873 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleOn Bayes Estimation of the First Order Moving Average ModelMahmoud M. Smadi, Ahmed A. Abu-TalebIn this work, Bayes estimation of the first order moving average model (MA(1)) were studied. Theoretical justification of the Bayes estimates based on the estimated innovations is given. The convergence of Bayes and maximum likelihood estimates are examined via simulation using different parameter values. Also, Bayes estimates were determined when the model is invertible using the estimated innovations. For long … …Journal of Mathematics and Statistics, Vol. 2, Issue 3 · 30 Sep 2006 · 6,522 accessesView PDFCite
Research NotesOpen accessPhrase in the titleA Note on a New Method of Investigation of Solutions of Boundary Value Problems for the Elliptic Type Equations of the First OrderNihan A. Aliyev, Alexander A. Katz, Metanet B. MursalovaThe paper deals with investigation of the solutions of the boundary value problem for the Cauchy-Riemann equation on the curvelinear strip in the real plane. Here the boundary conditions are in the special type and are fundamental with respect to the direction solutions are used. An analytic form of the solution of considered boundary value problem is obtained. …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 17 Jan 2018 · 7,204 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleUncertainty Analysis of Time of Concentration Equations based on First-Order-Analysis (FOA) MethodAsghar AzizianThe time of concentration (Tc) is one the most important time parameters to predict the response of a catchment to a given rainfall and plays a key role in the hydrologic design and rainfall-runoff modeling. There are a huge number of empirical/semi-empirical equations for estimation of Tc and depending on several parameters such as rainfall attributes, topographic and land cover … …American Journal of Engineering and Applied Sciences, Vol. 11, Issue 1 · 19 Mar 2018 · 9,294 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Computational Method Based on Bernstein Polynomials for Solving FredholmIntegro-Differential Equations under Mixed ConditionsMiloud Moussai, Lakhdar ChiterIn this study, a computational method for solving linear FredholmIntegro-Differential Equation (FIDE) of the first order under the mixed conditions using the Bernstein polynomials. First, we present some properties of these polynomials and the method is explained. These properties are then used to convert the integro-differential equation to a system of linear algebraic equations with unknown Bernstein coefficients. Using Galerkin … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 27 Feb 2017 · 7,142 accessesView PDFCite