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79 articles for “Differential form”
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Research ArticleOpen accessIn the abstractApproximate 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 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 · 6,565 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 · 7,807 accessesView PDFCite
EditorialOpen accessIn the abstractThe Proton Radius PuzzleG. M. HuberOccasionally,“revolutions” are caused in physics when new measurement techniques becomeavailable and cause us to rethink what we thought we knew. This has recently happenedin the field of proton structure physics, where researchers have had to revisitfundamental assumptions used in their determinations of the proton's meanelectric charge radius. Until 2010, ourknowledge of the proton's electric charge radius came exclusively fromelectron-proton interactions. … …Physics International, Vol. 6, Issue 1 · 12 Sep 2015 · 8,321 accessesView PDFCite
Research ArticleOpen accessIn the abstractEffect of Heat Moisture Treatment Using Different Solvents and Incubation Times on Resistant Starch Formation of Rice FlourAnuchita Moongngarm, Piyatida Srijinda, Tatdao Paseephol et al.The thermal and pasting properties and Resistant Starch (RS) formation of high amylose rice flour were investigated at 121°C using different solvents and storage times. The samples treated with water and lactic acid 10 mmol/L with storage times 0, 24, 48 and 72 h had the highest degree of gelatinization, ranging from 98.64 to 99.86%. The samples treated with ethanol … …American Journal of Applied Sciences, Vol. 12, Issue 8 · 9 Sep 2015 · 7,381 accessesView PDFCite
Research ArticleOpen accessIn the abstractMETHODS OF COMPLEX OBJECT'S TRANSFER FUNCTION CALCULATION FOR DISTRIBUTED CONTROL SYSTEMAlexander V. Martirosyan, Karina V. Martirosyan, Eduard G. YanukyanOne of the ways of solving the stable operation mode of the mineral water field's setting problem is the development and implementation of the hydromineral recourses distributed control system. In this article the consideration of the control system's development on the basis of regulator synthesis approach is offered. The purpose of this study is to present a technique of the … …Journal of Mathematics and Statistics, Vol. 10, Issue 3 · 9 Oct 2014 · 6,749 accessesView PDFCite
Research ArticleOpen accessIn the abstractFREE CONVECTION OF HEAT TRANSFER IN FLOW PAST A SEMI-INFINITE FLAT PLATE IN TRANSVERSE MAGNETIC FIELD WITH HEAT FLUXP. Geetha, M.B.K. Moorthy, M. DakshinamoorthyA steady two-dimensional MHD free convection of heat transfer in flow past a semi-infinite flat plate in transverse magnetic field with heat flux has been examined. The governing partial differential equation are non-dimensionalised and transformed into a system of nonlinear ordinary differential similarity equations, in a single independent variable η and using Runge-Kutta Gill method with shooting technique. The velocity … …American Journal of Applied Sciences, Vol. 11, Issue 9 · 4 Jul 2014 · 7,059 accessesView PDFCite
Research ArticleOpen accessIn the abstractUNSTEADY BOUNDARY LAYER FLOW ALONG A STRETCHING CYLINDER AN ANALYTICAL SOLUTIONM. Y. AklThe axisymetric laminar boundary layer unsteady flow along a continuously stretching cylinder immersed in a viscous and incompressible fluid is studied. The governing partial boundary layer equations in cylindrical form are first transformed into ordinary differential equations these equations are solved analytically using the optimal modified Homotopy Asymptotic method in order to get a closed form solution for the dimensionless … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 17 Feb 2014 · 7,152 accessesView PDFCite
Research ArticleOpen accessIn the abstractNEW APPROACH TO SOLVE HYBRID FUZZY DIFFERENTIAL EQUATIONSaveetha Natesan, Nirmala Venkatachalem, S. Chenthur PandianThis study presents solution for the first order hybrid fuzzy differential equation by Runge-Kutta method of order two with new parameters and Harmonic mean of ki’s which are used in the main formula in order to increase the order of accuracy of the solution. This method is discussed in detail followed by a complete error analysis. The accuracy and efficiency … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 1 Jul 2013 · 6,485 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Stability and Bifurcation of Solutions of Nonlinear System of Differential Equations for AIDS DiseaseS. A.A. El-MaroufProblem statement: This study aims to discuss the stability and bifurcation of a system of ordinary differential equations expressing a general nonlinear model of HIV/AIDS which has great interests from scientists and researchers on mathematics, biology, medicine and education. The existance of equilibrium points and their local stability are studied for HIV/AIDS model with two forms of the incidence rates. … …American Journal of Applied Sciences, Vol. 9, Issue 7 · 24 Apr 2012 · 7,018 accessesView PDFCite