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50 results for “Series Solution”

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Research ArticleOpen accessIn the abstractPlan, do, Study, Act Cycles, as an Alternate to Action Research for Clinically Based InquiryBernadette Ivy Eather, Mary Elizabeth Chiarella, Judith DonoghueAction Research has long been the method of choice when undertaking research in clinical practice improvement. It is a method aimed at engendering ownership by the participants in order to sustain practice change. Plan, Do, Study, Act cycles (PDSA) also provide a cyclical approach to clinical practice improvement research and focus the clinical team around a specific problem. Through focus … …International Journal of Research in Nursing, Vol. 4, Issue 2 · 11 Sep 2013 · 18,433 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Classification Model of Sandals Dhiif’s Product with Back Propagation and Fourier Descriptors MethodWikaria Gazali, Haryono Soeparno, Ngarap Im ManikClassification is a vital process in every industry. While manual classification is inefficient in terms of cost and time, the computerized techniques offer better and faster solution on this matter. Fourier Descriptors is the mathematical formulas to save objects in functions of Fourier series. While back propagation is an Artificial Neural Network (ANN) method to recognize patterns and images through … …Journal of Computer Science, Vol. 9, Issue 2 · 2 Apr 2013 · 6,370 accessesView PDFCite
Research ArticleOpen accessIn the abstractMathematical Analysis of the Non Linear Epidemic ModelLaid Chahrazed-Rahmani Fouad LazharClassical epidemic models assume that the size of the total population is constant. More recent models consider a population size variable to take into account a longer period with death and disease causing reduced reproductive. The model contains a disease-free equilibrium and one or multiple equilibria are endemic. The stability of a disease-free status equilibrium and the existence of other … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 19 Jun 2012 · 7,170 accessesView PDFCite
Research ArticleOpen accessIn the abstractComputation of the Locations of the Libration Points in the Relativistic Restricted Three-Body ProblemS.E. Abd El-Bar, F.A. Abd El-SalamProblem statement: In this study, the effects of Relativistic Restricted three-Body Problem (in brief RRTBP) on the equilibrium points of both triangular and collinear is considered. The approximate locations of the collinear and triangular points are determined. Series expansions are used to develope in µ and 1/c2 as small parameters. To check the validity of our solution, when ignoring 1/c2 … …American Journal of Applied Sciences, Vol. 9, Issue 5 · 29 Feb 2012 · 7,039 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Closed Form Solutions of Linear and Nonlinear Cauchy Reaction-Diffusion Equations Using the Hybrid of Fourier Transform and Variational Iteration MethodS.S. Nourazar, A. Nazari-Golshan, M. NourazarProblem statement: In the present study, a hybrid of Fourier transform and Variational Iteration Method (FTVIM) is developed for solving the non-homogeneous linear and nonlinear partial differential equations of Cauchy reaction-diffusion problem. Approach: The closed form solutions obtained from the series solution of recursive sequences is valid for the entire range of problem domain. Results and Conclusion: Moreover, the very … …Physics International, Vol. 2, Issue 1 · 26 Oct 2011 · 8,195 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Review Note of KMICe 2010: Knowledge Management Initiatives to Improve Organization PerformanceWan Hussain Wan IshakProblem statement: Knowledge Management (KM) has been a practice in many organizations to improve its performance towards reaching the organization goals. Realizing its importance, University Utara Malaysia has organized a series of KM conference called KMICe that focus on the recent and novel research findings related to KM. This special issue covers articles that were presented at KMICe 2010. Conclusion: … …American Journal of Economics and Business Administration, Vol. 3, Issue 1 · 31 Mar 2011 · 8,116 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Coupled Mathematical Model for a Temperature Dependant Blood Perfusion in Heterogeneous Biological Tissues during Microwave HeatingE. A. Adebile, B. N. Akintewe, K. M. OwolabiProblem statement: The temperature variation in heterogeneous three layered biological tissues was investigated. Approach: The blood perfusion was considered to be temperature dependent. The heating modalities were taking to go on simultaneously in each of the regions on the one hand and also sequentially in another arrangement. The asymptotic series solution was modified for the three layers and the matching … …American Journal of Applied Sciences, Vol. 7, Issue 5 · 31 May 2010 · 6,576 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Multiderivative Collocation Method for 5th Order Ordinary Differential EquationsS. J. Kayode, D. O. AwoyemiProblem statement: The conventional methods of solving higher order differential equations have been by reducing them to systems of first order equations. This approach is cumbersome and increases computational time. Approach: To address this problem, a numerical algorithm for direct solution of 5th order initial value problems in ordinary differential equations (odes), using power series as basis function, is proposed … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 8,928 accessesView PDFCite
Research ArticleOpen accessIn the abstractApplying Simulated Annealing For Optimal Operation of Multi-Reservoir SystemsF. Khodabakhshi, A. R. Ghirian, N. KhakzadThe need to optimize the operation of water reservoirs is an issue that is becoming increasingly a concern for water resources planners in developing countries. This issue particularly becomes more significant in large systems with multiple reservoirs where operation of one reservoir has an impact on the others. In other word, the set of reservoirs in these systems act like … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 1 · 31 Mar 2009 · 7,620 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Discretized Algorithm for Optimal Problems Constrained by Differential Equation with Real CoefficientsO. OlotuA discretized scheme, Discretized Continuous Algorithm (DCA), for solving constrained quadratic optimal control problems was developed to ease the computational cumbersomeness inherent in some existing algorithms, particularly, the Function Space A lgorithm (FSA) by replacing the integral by a series of summation. In order to accomplish this numerical scheme, we resort to a finite approximation of it by discretizing its … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 6,851 accessesView PDFCite