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146 articles for “solving problems”
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Research ArticleOpen accessIn the abstractHybrid Block Method for Direct Numerical Approximation of Second Order Initial Value Problems Using Taylor Series ExpansionsOluwaseun Adeyeye, Zurni OmarIn this article, a hybrid block method is utilized for the numerical approximation of second order Initial Value Problems (IVPs). The rigor of reduction to a system of first order initial value problems is bypassed as the hybrid block method directly solves the second order IVPs. Likewise, the methodology utilized also avoids the cumbersome steps involved in the widely adopted … …American Journal of Applied Sciences, Vol. 14, Issue 2 · 17 Feb 2017 · 7,956 accessesView PDFCite
Research ArticleOpen accessIn the abstractNovel Apache Spark based Algorithm to Solve Dirichlet Problem for Poisson Equation in 3D Computational DomainShomanov Aday, Mansurova MadinaParallel computations are essential tool in solving large-scale computationally demanding problems. Due to large diversity and heterogeneity of the currently available parallel processing techniques and paradigms it is usually difficult to find the right solution that will perform well according to every performance metric. As one of the recent developments in parallel computing Apache Spark framework allows to process petabyte-scale … …Journal of Computer Science, Vol. 12, Issue 10 · 15 Dec 2016 · 7,055 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical 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 · 8,084 accessesView PDFCite
Research ArticleOpen accessIn the abstractDesign and Development of an Ergonomic Milling Machine Control Knob using TRIZ PrinciplesPoh Kiat Ng, Kian Siong JeeTRIZ, a Russian abbreviation known as the Theory of Inventive Problem Solving, refers to a methodology for problem-solving rooted in logic and data rather than intuition. It promotes the ability to solve problems creatively. Using TRIZ tools for problem-solving such as the cause-effect-chain analysis and engineering contradiction, a new ergonomic milling machine control knob was developed for improved musculoskeletal comfort. … …American Journal of Applied Sciences, Vol. 13, Issue 4 · 28 Apr 2016 · 7,790 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 abstractAn Expansion Iterative Technique for Handling Fractional Differential Equations Using Fractional Power Series SchemeRadwan Abu-Gdairi, Mohammed Al-Smadi, Ghaleb GumahIn this study, we present a new analytical numerical technique for solving a class of time Fractional Differential Equations (FDEs) with variable coefficients based on the generalized Taylor series formula in the Caputo sense. This method provided the solution in the form of a rapidly convergent power series under a multiple fractional differentiability with easily computable components. An efficacious experiment … …Journal of Mathematics and Statistics, Vol. 11, Issue 2 · 18 Sep 2015 · 7,815 accessesView PDFCite
Research ArticleOpen accessIn the abstractAdaptive Acceptance Criterion (AAC) Algorithm for Optimization ProblemsAnmar AbuhamdahOptimization methods commonly are designed for solving the optimization problems. Local search algorithms are optimization method, which are good candidate in exploiting the search space. However, most of them need parameter tuning and incapable of escaping from local optima. This work proposes non-parametric Acceptance Criterion (AC) that not relies on user-defined, which motivate to propose an Adaptive Acceptance Criterion (AAC). … …Journal of Computer Science, Vol. 11, Issue 4 · 23 Jul 2015 · 6,971 accessesView PDFCite
Research ArticleOpen accessIn the abstractA 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 · 6,957 accessesView PDFCite
Research ArticleOpen accessIn the abstractLOCAL FRACTIONAL VARIATIONAL ITERATION METHOD FOR SOLVING VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITHIN LOCAL FRACTIONAL OPERATORSAmmar Ali NeamahThe paper uses the Local fractional variational Iteration Method for solving the second kind Volterra integro-differential equations within the local fractional integral operators. The analytical solutions within the non-differential terms are discussed. Some illustrative examples will be discussed. The obtained results show the simplicity and efficiency of the present technique with application to the problems for the integral equations. …Journal of Mathematics and Statistics, Vol. 10, Issue 3 · 9 Oct 2014 · 6,516 accessesView PDFCite
Research ArticleOpen accessIn the abstractMANAGING WASTE ELIMINATION DATABASE IN LEAN MANUFACTURING: IMPROVE PROBLEM SOLVING CAPABILITYA.P. Puvanasvaran, Y. HuiHui, N. NorazlinThis study highlighted on managing the waste elimination database in lean manufacturing of the case study company. An application for managing the waste elimination database in lean manufacturing to improve the visual indicators and enhance the problem solving capabilities of the employees in the organization is introduced as the basic success factors to drive the process of continuous improvement culture … …American Journal of Engineering and Applied Sciences, Vol. 7, Issue 2 · 5 Jul 2014 · 8,238 accessesView PDFCite