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263 articles for “Nonlinear”
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Research ArticleOpen accessEvery word in the titleAdapted Newton-Kantorovich Methods for Nonlinear Integral EquationsMostefa Nadir, Amina KhiraniFor this work, the main idea is to make an adapted modification to the Newton-Kantorovich method destined to solve a nonlinear integral equations, so that by this technical method we obtain a simple application to this solution. Moreover, we compare the numerical results obtained by this method against ones obtained by another authors. This comparison showed the efficiency of this … …Journal of Mathematics and Statistics, Vol. 12, Issue 3 · 2 Jul 2016 · 7,294 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleApproximate Series Solution of Nonlinear, Fractional Klein-Gordon Equations Using Fractional Reduced Differential Transform MethodEman Abuteen, Asad Freihat, Mohammed Al-Smadi et al.This analysis proposes an analytical-numerical approach for providing solutions of a class of nonlinear fractional Klein-Gordon equation subjected to appropriate initial conditions in Caputo sense by using the Fractional Reduced Differential Transform Method (FRDTM). This technique provides the solutions very accurately and efficiently in convergent series formula with easily computable coefficients. The behavior of the approximate series solution for different … …Journal of Mathematics and Statistics, Vol. 12, Issue 1 · 26 Mar 2016 · 7,901 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOptimization of Penalty Parameter in Penalized Nonlinear Canonical Correlation Analysis by using Cross-ValidationIsamu NagaiThere is Canonical Correlation Analysis (CCA) as a way to find a linear relationship between a pair of random vectors. However, CCA cannot find a nonlinear relationship between them since the method maximizes the correlation between linear combinations of the vectors. In order to find the nonlinear relationship, we convert the vectors through some known conversion functions like a kernel … …Journal of Mathematics and Statistics, Vol. 11, Issue 3 · 22 Dec 2015 · 7,661 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleApplication of an Enhanced (G'/G)-Expansion Method to Find Exact Solutions of Nonlinear PDEs in Particle PhysicsS.M. Rayhanul IslamThe enhanced (G'/G)-expansion method is very effective and powerful method to find the exact traveling wave solutions of nonlinear evolution equations. We choose the Phi-4 equation to illustrate the validity and advantages of this method. As a result, many exact traveling wave solutions are obtained, which include soliton, hyperbolic function and trigonometric function solutions. …American Journal of Applied Sciences, Vol. 12, Issue 11 · 13 Nov 2015 · 7,037 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleANALISIS OF THE NONLINEAR DISTRIBUTED CONTROL SYSTEM'S SUSTAINABILITYAlexander B. Chernyshev, Karina V. Martirosyan, Alexander V. MartirosyanSystems' stability is the topical issue of control systems' development province. In this study the research of methodology of the nonlinear distributed control systems' stability assessment is conducted. Research of the standard distributed links' frequency surfaces is executed, limit characteristics of the parameters influencing by sight of spatial hodograph are investigated. The purpose of the work is to present the … …Journal of Mathematics and Statistics, Vol. 10, Issue 3 · 11 Jul 2014 · 6,708 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleLAG SELECTION OF THE AUGMENTED KAPETANIOS-SHIN-SNELL NONLINEAR UNIT ROOT TESTJen-Je Su, Adrian Wai-Kong Cheung, Eduardo RocaWe provide simulation evidence that shed light on several size and power issues in relation to lag selection of the augmented (nonlinear) KSS test. Two lag selection approaches are considered-the Modified AIC (MAIC) approach and a sequential General to Specific (GS) testing approach Either one of these approaches can be used to select the optimal lag based on either the … …Journal of Mathematics and Statistics, Vol. 9, Issue 2 · 4 May 2013 · 7,872 accessesView PDFCite
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 titleAnalytic and Nonlinear Prognostic for Vehicle Suspension SystemsAbdo Abou Jaoude, Khaled El-TawilPredicting Remaining Useful Lifetime (RUL) of industrial systems becomes currently an important aim for industrialists knowing that the expensive failure can occur suddenly. As the classical strategies of maintenance are not efficient and practical because they neglect the evolving product state and environment, the recent prognostic approaches try to fill this gap. This approach shows to be important in ensuring … …American Journal of Engineering and Applied Sciences, Vol. 6, Issue 1 · 23 Feb 2013 · 7,522 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAccurate Determination of Nonlinear Refractive Index for Some Binary Glass SystemsElSayed MoustafaProblem statement: This study investigates the relation between the nonlinear optical susceptibility (χ(3)) and the ratio (α1/αo-2), then the nonlinear index determination for some binary glass systems. Recently suitable relationship between the oxidation polarizability and the nonlinear optical properties was established for simple oxides glasses. So in this study more attention and investigation is paid to the trend of that … …American Journal of Applied Sciences, Vol. 8, Issue 1 · 31 Jan 2011 · 7,692 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA New Newton's Method with Diagonal Jacobian Approximation for Systems of Nonlinear EquationsM. Y. Waziri, W. J. Leong, M. A. Hassan, M. MonsiProblem statement: The major weaknesses of Newton method for nonlinear equations entail computation of Jacobian matrix and solving systems of n linear equations in each of the iterations. Approach: In some extent function derivatives are quit costly and Jacobian is computationally expensive which requires evaluation (storage) of n×n matrix in every iteration. Results: This storage requirement became unrealistic when n … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 8,538 accessesView PDFCite