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50 results for “Series Solution”
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Research ArticleOpen accessIn the abstractDesorption of Exchangeable Cations at Adsorption of Lead Ions by Chernozem in the Presence of Attendant AnionsT. M. Minkina, D. L. Pinskii, S. S. Mandzhieva et al.The effect of Cl–, Ac‾ and NO3‾ anions on the adsorption of Pb cations by an ordinary chernozem and desorption of exchangeable cations in the soil-solution system has been assessed under model laboratory conditions. It has been shown that the attendant anions affect the shape of the adsorption isotherms, which are described by the Langmuir equation. The greatest influence on … …American Journal of Environmental Sciences, Vol. 11, Issue 5 · 20 Oct 2015 · 6,931 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 abstractSlow Fungal Hydrolysis of Complex Sugar is Responsible for the Use of Sugar as Vehicle for Antifungal DrugsNedosa Ikenna Valentine, Utoh-Nedosa Uchechukwu Anastasia, Dan Danjuma et al.Problem statement: Aspergillus niger strain (UUF 9202) significantly reduced the dormancy period and boosted aggregate germination time in seeds of Tetrapleura tetraptera by 42% in 32 days and produced a net reduction in mean germination time of the seeds to 12 days. A structure-fungitoxicity relationship study of a series of isoflavonoids against Aspergillus niger and Cladosporium cucumerinum showed that a … …American Journal of Pharmacology and Toxicology, Vol. 6, Issue 3 · 2 Nov 2011 · 7,665 accessesView PDFCite
Research ArticleOpen accessIn the abstractSpecification of Dynamic Time Series Model with Volatile-Outlier Input SeriesT. A. Lasisi, D.K. Shangodoyin, O. O. Sangodoyin et al.Problem statement: This study considers the precision of the output series generated from aberrant input series in the context of the distribution of the dynamic estimate and also investigate relative merit of analyzing residuals with outliers for a volatility input dynamic model. Approach: The study developed a methodology for checking volatility at every time point and evaluates the influence of … …American Journal of Applied Sciences, Vol. 8, Issue 11 · 1 Oct 2011 · 7,102 accessesView PDFCite
Research ArticleOpen accessIn the abstractA New Perturbative Approach in Nonlinear Singularity AnalysisTat-Leung YeeProblem statement: The study is devoted to the “mirror” method which enables one to study the integrability of nonlinear differential equations. Approach: A perturbative extension of the mirror method is introduced. Results: The mirror system and its first perturbation are then utilized to gain insights into certain nonlinear equations possessing negative Fuchs indices, which were poorly understood in the literatures. … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 29 Jul 2011 · 7,331 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Zero-Stable Optimal Order Method for Direct Solution of Second Order Differential EquationsKayode Sunday JacobProblem statement: In this study, a numerical method for direct solution of general second order differential equations was considered in order to circumvent the problems of computational burden and computer time wastage associated with method of reduction to system of first order equations. The issue of zero stability of higher order methods is considered in the development of the method. … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,068 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Magnetic Field Induced by a Lightning Strike's Indirect Effect Double Exponential Current WaveformScott L. Meredith, Susan K. Earles, Ivica N. Kostanic, Niescja E. TurnerProblem statement: Develop a new formula which describes the magnetic field induced by a lightning strike’s indirect effect double exponential current waveform. Approach: A novel approach for developing a closed-form solution for the magnetic field from the indirect effect double exponential current waveform will be presented. In the literature, models typically employ the pulse waveform to derive the corresponding electromagnetic … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 8,191 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical Investigation of an Industrial Robot Arm Control Problem Using Haar Wavelet SeriesS. Nandhakumar, V. Selladurai, S. SekarProblem statement: An error minimization in robot arm dynamics improves operations and performance of production systems. Many contributions have been made in area of robot dynamics since the earliest study more than two decades, but, a number of researchers are still contributing various principles and new techniques for the best use of robots in reality, especially in the field of … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 4 · 31 Dec 2009 · 8,041 accessesView PDFCite
Research ArticleOpen accessIn the abstractSolute or Heat Transport in a Flat DuctElijah Johnson, Ayaovi D. Apeti, Sekeenia Haynes, Larry RobinsonSteady state solute and heat transfer for laminar flow in a flat duct has been widely studied[1-4]. The same problem in a circular tube is called the Graetz Problem[5,6]. The transfer rate of solute and heat from fluids is of importance in a number of processes, such as diffusion of drugs in the blood stream and the uptake of environmental … …American Journal of Environmental Sciences, Vol. 4, Issue 6 · 31 Dec 2008 · 6,392 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Order Six Zero-Stable Method for Direct Solution of Fourth Order Ordinary Differential EquationsKayode Sunday JacobA zero-stable numerical method for direct solution of fourth order differential equations reduces the computational burden and computer time wastage involved in the method of reducing such equations to a system of first order equations. The method adopted is the collocation of the differential system and the interpolation of the approximate solution to the problem using the power series as … …American Journal of Applied Sciences, Vol. 5, Issue 11 · 30 Nov 2008 · 7,170 accessesView PDFCite