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18 results for “Fourier Series”
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Research ArticleOpen accessPhrase in the titlePREDICTING GROUNDWATER LEVEL USING FOURIER SERIES INTEGRATED WITH LEAST SQUARE ESTIMATION METHODManoj K. JhaGroundwater level data is an important indicator of the availability and distribution of groundwater resources of the region. However, it is difficult to understand the continuous and discrete fluctuations of the groundwater level which is controlled by various factors. This study demonstrated the use of Fourier series integrated with the least square estimation method to predict the groundwater level especially … …American Journal of Engineering and Applied Sciences, Vol. 7, Issue 1 · 26 Mar 2014 · 7,782 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleFourier Series With Spectral and Wave Number DecompositionJung-Hua Chou, Raylin WuIn this study, the generic nature of Fourier series is pointed out and the requirement of dimensional homogeneity for physical systems is emphasized. By suitable application of non-dimensional variables, both time versus frequency and spatial versus wave number decomposition of Fourier series are included properly to put the physics involved into the right physical meanings. Furthermore, the high frequency noise … …American Journal of Applied Sciences, Vol. 1, Issue 4 · 31 Dec 2004 · 7,249 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleAnalytical Solution of Temperature Field in Hollow Cylinder under Time Dependent Boundary Condition Using Fourier seriesGolamali atefi, Mohammad Ali Abdous, Abdolsaeid GanjehkaviriThe objective of this study is to derive an analytical solution of one dimensional heat conduction equation applied in a hollow cylinder, which is subjected to a periodic boundary condition at the outer surface while the inner surface is insulated. The material is assumed to be homogenous and isotropic with time-independent thermal properties. Because of the time-dependent term in the … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 2 · 30 Jun 2008 · 7,533 accessesView PDFCite
Research ArticleOpen accessIn the keywordsAnalytical Solution Based on a New Series along with the Numeric Solution of the Non-Homogeneous Transient Heat Conduction Equation, in Hollow Cylinder under General Mixed Boundary ConditionsMehdi Zare, F. KardanIn this study, the problem of transient conduction heat transfer for an infinite hollow cylinder under non-homogeneous mixed boundary conditions at the both surfaces simultaneously in radial direction with general heat source depend on time and radius, also general initial condition by the method of superposition and separation variables, is solved and temperature distribution is obtained analytically. A new series … …American Journal of Engineering and Applied Sciences, Vol. 11, Issue 2 · 20 Apr 2018 · 9,486 accessesView PDFCite
Research ArticleOpen accessIn the keywordsTime Series Analysis of Rainfall and Temperature Interactions in Coastal CatchmentsGurudeo Anand Tularam, Mahbub IlaheeProblem statement: As a result of climate change more work is now being done on climate indices such as SOI, rainfall, temperature and so on. The research concerning rainfall and temperature variations in coastal tropical and subtropical catchments as noted by the dated references in this study shows a lack of attention. The authors examined long term data from coastal … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 15,823 accessesView PDFCite
Research ArticleOpen accessIn the abstractESR and FT-IR Studies on GeO2 Substituted Lead Vanadate Semiconducting Glass SystemP. Tejeswara RaoA series of Germania-lead-vanadium pentoxide glasses with x=5, 10 and 15 mol% were prepared by melt quenching technique and they were characterized by X-ray diffraction (XRD), Differential scanning calorimetry (DSC), Fourier Transform Infrared (FT-IR) and Electron Spin Resonance (ESR) techniques. X-ray diffraction results reveal that all samples are perfect amorphous in nature. Differential scanning calorimetry results indicate that the substituent … …International Journal of Structural Glass and Advanced Materials Research, Vol. 3, Issue 1 · 19 Apr 2019 · 6,793 accessesView PDFCite
Research ArticleOpen accessIn the abstractFree Vibration Analysis of Rectangular Cantilever Plates Using the Hyperbolic-Trigonometric SeriesMikhail V. Sukhoterin, Sergey O. Baryshnikov, Dmitry A. AksenovThe purpose of this paper is to develop a numerical analytical method for an accurate solution to the problem on frequencies and mode shapes of a rectangular cantilever plate. The problem is reduced to an infinite system of linear algebraic equations relative to ratios of trigonometric series, which contains vibration frequency as a parameter. The core of the method is … …American Journal of Applied Sciences, Vol. 13, Issue 12 · 23 Dec 2016 · 7,283 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Novel Method of Voltage Sag and Swell Estimation for Power System ApplicationsA. Vetrivel, Jovitha Jerome, N. MalmuruganThis study presents four simple mathematical models to build the voltage shape with the knowledge of few parameters and detects voltage sag and swells accurately. Fourier series, cubic polynomial, Rational functions and Sum of Sin functions are used in this study to model the voltage profile. A new algorithm is developed to detect sag or swell in all the four … …American Journal of Engineering and Applied Sciences, Vol. 6, Issue 2 · 4 Jul 2013 · 7,080 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