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298 articles for “solving”
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Research ArticleOpen accessEvery word in the titleA MODIFIED METHOD FOR SOLVING SYSTEM OF NONLINEAR EQUATIONSKanittha ChompuvisedSolving systems of nonlinear equation is a great important which arises in various branches of science and engineering. In the last decades, several numerical techniques were proposed to solve these problems. In this study, we propose a modified of iterative method which is based on the idea of Newton method and Fixed point iteration method. The proposed method has been … …Journal of Mathematics and Statistics, Vol. 9, Issue 1 · 15 Mar 2013 · 6,770 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleVariable Separation and Boubaker Polynomial Expansion Scheme for Solving the Neutron Transport EquationDada O.M., O.B. Awojoyogbe, M. Agida, K. BoubakerProblem statement: In this study, we present general analytical solutions to the Neutron Boltzmann Transport Equation NBTE using a polynomial expansion scheme. Approach: Some simple assumptions have been introduced in the main system thanks to the Boubaker Polynomial Expansion Scheme (BPES) in order to make the general analytical procedure simple and adaptable for solving similar real life problems. Results: Finding … …Physics International, Vol. 2, Issue 1 · 21 Jan 2012 · 7,595 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSolving the Periodic Maintenance Scheduling Problem via Genetic Algorithm to Balance Workforce Levels and Maintenance CostMohamed Ali Abdel-Fattah MansourProblem statement: In this article we address the multi-objective Periodic Maintenance Scheduling Problem (PMSP) of scheduling a set of cyclic maintenance operations for a given set of machines through a specified planning period to minimize the total variance of workforce levels measured in man-hours and maintenance costs with equal weights. Approach: The article proposed a mixed integer non-linear math programming … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 2 · 12 Jul 2011 · 8,317 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSolving Directly Two Point Non Linear Boundary Value Problems Using Direct Adams Moulton MethodZanariah Abdul Majid, Phang Pei See, Mohamed SuleimanProblem statement: In this study, a direct method of Adams Moulton type was developed for solving non linear two point Boundary Value Problems (BVPs) directly. Most of the existence researches involving BVPs will reduced the problem to a system of first order Ordinary Differential Equations (ODEs). This approach is very well established but it obviously will enlarge the systems of … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,882 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAn Investigation of Using Parallel Genetic Algorithm for Solving the Shortest Path Routing ProblemSalman Yussof, Rina Azlin Razali, Ong Hang SeeProblem statement: Shortest path routing is the type of routing widely used in computer network nowadays. Even though shortest path routing algorithms are well established, other alternative methods may have their own advantages. One such alternative is to use a GA-based routing algorithm. According to previous researches, GA-based routing algorithm has been found to be more scalable and insensitive to … …Journal of Computer Science, Vol. 7, Issue 2 · 25 Feb 2011 · 7,617 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleNew Scaled Sufficient Descent Conjugate Gradient Algorithm for Solving Unconstraint Optimization ProblemsAbbas Y. AL-Bayati, Rafiq S. MuhammadProblem statement: The scaled hybrid Conjugate Gradient (CG) algorithm which usually used for solving non-linear functions was presented and was compared with two standard well-Known NAG routines, yielding a new fast comparable algorithm. Approach: We proposed, a new hybrid technique based on the combination of two well-known scaled (CG) formulas for the quadratic model in unconstrained optimization using exact line … …Journal of Computer Science, Vol. 6, Issue 5 · 31 May 2010 · 7,046 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Derivative-Free Optimization Method for Solving Classification ProblemParvaneh Shabanzadeh, Malik Abu Hassan, Wah June LeongProblem statement: The aim of data classification is to establish rules for the classification of some observations assuming that we have a database, which includes of at least two classes. There is a training set for each class. Those problems occur in a wide range of human activity. One of the most promising ways to data classification is based on … …Journal of Computer Science, Vol. 6, Issue 3 · 31 Mar 2010 · 7,505 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSolving the State Assignment Problem Using Stochastic Search Aided with Simulated AnnealingWalid M. AlyProblem statement: Solving the state assignment problem means finding the optimum assignment for each state within a sequential digital circuit. These optimum assignments will result in decreasing the hardware realization cost and increasing the reliability of the digital circuit. Unfortunately, the state assignment problem belongs to the class of nondeterministic polynomial time problems (NP complete) which requires heavy computations. Different … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 4 · 31 Dec 2009 · 6,966 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAnt Colony Optimization for Solving Solid Waste Collection Scheduling ProblemsZ. Ismail, S. L. LohProblem statement: Southern Waste Management environment (SWM environment) is a company responsible for the collection and disposal of solid waste for the city of Johor Bahru, a city with over one million populations. The company is implementing an integrated solid waste management system where it involved in the optimization of resources to ensure the effectiveness of its services. Formulating this … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 8,015 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn the Pseudo-Spectral Method of Solving Linear Ordinary Differential EquationsB. S. OgundareProblem statement: Not all differential equations can be solved analytically, to overcome this problem, there is need to search for an accurate approximate solution. Approach: The objective of this study was to find an accurate approximation technique (scheme) for solving linear differential equations. By exploiting the Trigonometric identity property of the Chebyshev polynomial, we developed a numerical scheme referred to … …Journal of Mathematics and Statistics, Vol. 5, Issue 2 · 30 Jun 2009 · 7,222 accessesView PDFCite