Research ArticleOpen accessIn the keywordsAn 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 PDFCite
Research ArticleOpen accessIn the abstractA New Separable Logarithmic Algorithm for Non-Linear OptimizationAbbas Y. Al-Bayati, Hawraz N. JabbarProblem statement: The idea of this study stemmed from the fact that most of the currently used optimization algorithms use a local quadratic representation of the objective function. It also arisen from the fact that the objective function may not be represented adequately by quadratic functions and the global minimizer may be obtained for objective functions. So, in this study, … …Journal of Computer Science, Vol. 6, Issue 5 · 31 May 2010 · 6,872 accessesView PDFCite
Research ArticleOpen accessIn the abstractTime-Marching Method for Computations of High-Speed Compressible Flow on Structured and Unstructured GridK.C. Ng, M.Z. Yusoff, K. Munisamy et al.The development of Computational Fluid Dynamics (CFD) compressible codes for 2D structured quadrilateral grid and 3D unstructured hexahedral grid is described. The high-speed flow in a nozzle blade cascade is predicted numerically by solving the 2D/3D Euler Equations in a coupled manner. The new finite volume CFD solvers employ second-order accurate central differencing scheme for spatial discretization and multi-stage Runge-Kutta … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 2 · 30 Jun 2008 · 7,348 accessesView PDFCite