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200 results for “Error Analysis”

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Research ArticleOpen accessIn the abstractA Comparison of Explicit Semi-Analytical Numerical Integration Methods for Solving Stiff ODE SystemsE.R. El-Zahar, H.M. Habib, M.M. Rashidi, I.M. El-DesokyIn this study, a comparison among three semi-analytical numerical integration algorithms for solving stiff ODE systems is presented. The algorithms are based on Differential Transform Method (DTM) which are Multiple-Step DTM (MsDTM), Enhanced MsDTM (E-MsDTM) and MsDTM with Padé approximants (MsDTM-P). These methods can be classified as explicit one step semi-analytical numerical integration methods. The error and stability analysis of … …American Journal of Applied Sciences, Vol. 12, Issue 5 · 26 Jun 2015 · 6,957 accessesView PDFCite
Research ArticleOpen accessIn the abstractTHE CLINICAL APPLICATIONS FOR AUTOMATIC DETECTION OF EXUDATESK. Wisaeng, N. Hiransakolwong, E. PothirukNowadays, the retinal imaging technology has been widely used for segmenting and detecting the exudates in diabetic retinopathy patients. Unfortunately, the retinal images in Thailand are poor-quality images. Therefore, detecting of exudates in a large number by screening programs, are very expensive in professional time and may cause human error. In this study, the clinical applications for detection of exudates … …American Journal of Applied Sciences, Vol. 11, Issue 10 · 27 Sep 2014 · 6,451 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Non-Linear Absolutely-Stable Explicit Numerical Integration Algorithm for Stiff Initial-Value ProblemsEssam R. El-ZaharThe time-step in integration process has two restrictions. The first one is the time step restriction due to accuracy requirement τac and the second one is the time-step restriction due to stability requirement τst. The most of explicit methods have small stability regions and consequently small τst. It obliges us to solve stiff problems with small step size τst << … …American Journal of Applied Sciences, Vol. 10, Issue 11 · 11 Sep 2013 · 7,565 accessesView PDFCite
Research ArticleOpen accessIn the abstractPrediction of Days After Anthesis of Developing Tomato (Solanum lycopersicum) Fruit from Blossom-End Changes in ColorTiznado-Hernández Martín Ernesto, Delia Moreno-Velázquez, Angel Javier Ojeda-Contreras, Andrés Ochoa-MezaThe development of mathematical models to predict the physiological status of a developing fruit can be a useful tool to reduce the variation in fruit response to postharvest treatments. The objective of this study was to develop a mathematical model to predict Days After Anthesis (DAA) in tomato fruit from changes in the blossom end color. Around 160 tomato flowers … …American Journal of Agricultural and Biological Sciences, Vol. 8, Issue 3 · 4 Sep 2013 · 8,107 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 · 6,491 accessesView PDFCite
Research ArticleOpen accessIn the abstractPeak to Average Power Ratio Reduction of Orthogonal Frequency Division Multiplexing System with a Significant Low ComplexityMahamod Ismail, J. S. Mandeep, Montadar Abas Taher, M. T. IslamThe Orthogonal Frequency Division Multiplexing (OFDM) has been widely used in many applications in the last decade. It provides good benefits compared to the single carrier systems. However, it has a bad property represented by the high-output Peak to Average Power Ratio (PAPR) which is considered as its major problem. There are many techniques to reduce the PAPR values such … …American Journal of Applied Sciences, Vol. 9, Issue 12 · 20 Dec 2012 · 6,594 accessesView PDFCite
Research ArticleOpen accessIn the abstractMethodical Tuning of Proportional Plus Integral Controllers for Cascade Control of Separately Excited DC MotorsIbrahim Al-AbbasThe cascade control of DC motors by PI controllers was extensively used in industry. Approximation rules based on plotting the output of the system or on computer simulation were used to determine the parameters of these controllers. This study was done to develop mathematical expressions to calculate the parameters of these controllers. Output time functions of the system and there … …American Journal of Applied Sciences, Vol. 9, Issue 11 · 12 Sep 2012 · 7,013 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical Solution for 2D European Option Pricing Using Quarter-Sweep Modified Gauss-Seidel MethodKoh Wei Sin, Jumat Sulaiman, Rasid MailProblem statement: This study presents the numerical solution of two-dimensional European option pricing problem based on Quarter-Sweep Modified Gauss-Seidel (QSMGS) iterative method. In fact, the pricing of European option with two-underlying assets can be governed by two-dimensional Black-Scholes Partial Differential Equation (PDE). Approach: The PDE needs to be discretized by using full-, half- and quarter-sweep second-order Crank-Nicolson schemes to generate … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 8 Feb 2012 · 7,777 accessesView PDFCite
Research ArticleOpen accessIn the abstractForecasting Financial Market Annual Performance Measures: Further Evidence+Edward J. Lusk, Michael Halperin, Atanas Tetikov, Niya StefanovaProblem statement: Forecasting is simple; producing accurate forecasts is the essential task. Experience suggests that financial managers often assume that because models used in forecasting are appropriate that they are effective. This study addresses this assumption. Effective is taken to mean forecasts where the Absolute Percentage Error (APE) is equal to or less than 10%. It has been reported that … …American Journal of Economics and Business Administration, Vol. 2, Issue 3 · 30 Sep 2010 · 7,532 accessesView PDFCite
Research ArticleOpen accessIn the abstractCooperative Sensing in Cognitive Radio Networks-Avoid Non-Perfect Reporting ChannelRania A. Mokhtar, Sabira Khatun, B. M. Ali, A. RamliProblem statement: Cognitive radio is a candidate technology for more efficient spectrum utilization systems based on opportunistic spectrum sharing. However, a common assumption regarding cognitive radios is that they are unlicensed spectrum users that should defer to (avoid interfering with) existing primary sources. Therefore effective sensing of primary users was a major focus of current research. Cooperative spectrum sensing had … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 2 · 30 Jun 2009 · 7,742 accessesView PDFCite