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28 results for “finite difference method”
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Research ArticleOpen accessIn the abstractNumerical Solution of Second-Order Linear Fredholm Integro-Differential Equation Using Generalized Minimal Residual MethodElayaraja Aruchunan, Jumat SulaimanProblem statement: This research purposely brought up to solve complicated equations such as partial differential equations, integral equations, Integro-Differential Equations (IDE), stochastic equations and others. Many physical phenomena contain mathematical formulations such integro-differential equations which are arise in fluid dynamics, biological models and chemical kinetics. In fact, several formulations and numerical solutions of the linear Fredholm integro-differential equation of second … …American Journal of Applied Sciences, Vol. 7, Issue 6 · 30 Jun 2010 · 8,202 accessesView PDFCite
Research ArticleOpen accessIn the abstractDesign and Simulation of Microelectromechanical System Capacitive Shunt SwitchesHaslina Jaafar, Othman Sidek, Azman Miskam, Shukri KorakkottilProblem statement: RF MEMS switch is one of MEMS area that creates devices that have great potential to improve the performance of communication circuits and systems and enables the realization of micro size mechanical switches embedded in electronics devices. The low voltage switches are necessary due to their compatibility of standard IC technology in RF application and microelectronics systems. In … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 4 · 31 Dec 2009 · 7,718 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Strongly Coupled Linear Elliptic Systems with Application to Otolith Membrane DistortionI.K. YoussefProblem Statement: In this research, the author discussed the problems associated with the approximation of the mixed derivative terms appearing in strongly coupled linear elliptic systems by the finite difference method over irregular domains. To avoid the appearance of mixed derivative terms the author introduced a reformulation for the system through introducing a new dependent variable which adds one supplementary … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 6,718 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Discretized Algorithm for Optimal Problems Constrained by Differential Equation with Real CoefficientsO. OlotuA discretized scheme, Discretized Continuous Algorithm (DCA), for solving constrained quadratic optimal control problems was developed to ease the computational cumbersomeness inherent in some existing algorithms, particularly, the Function Space A lgorithm (FSA) by replacing the integral by a series of summation. In order to accomplish this numerical scheme, we resort to a finite approximation of it by discretizing its … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 6,854 accessesView PDFCite
Research ArticleOpen accessIn the abstractVariable Velocity Influence on the Vibration of Simply Supported Bernoulli - Euler Beam Under Exponentially Varying Magnitude Moving LoadT. O. AwodolaThe variable velocity influence on the vibration of a simply supported Bernoulli-Euler beam, resting on a uniform foundation, under the action of an exponentially varying magnitude load moving with variable velocity is investigated in this work. The technique is based on the Finite Fourier Sine transformation and the Finite Difference method. Numerical results in plotted curves are presented. It is … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 7,663 accessesView PDFCite
Research ArticleOpen accessIn the abstractThermal Stability Analysis in a Two-Step Reactive Cylindrical StockpileR.S. Lebelo, R.K. Mahlobo, K.C. MoloiThermal stability analysis in a cylindrical stockpile of reactive material undergoing a two-step low-temperature oxidation reaction is studied in this article. The reactant consumption in this case is neglected and heat transfer with thermal stability are investigated by application of the energy equation. The complicated combustion process results with nonlinear interactions and hence the nonlinear partial differential equation governing the … …American Journal of Applied Sciences, Vol. 15, Issue 2 · 6 Dec 2017 · 7,661 accessesView PDFCite
Research ArticleOpen accessIn the abstractValidation of MIKE 11 Model Simulated Data for Biochemical and Chemical Oxygen Demands TransportMahdieh Eisakhani, Md. Pauzi Abdullah, Othman Abd Karim, Amirhossein MalakahmadProblem statement: The aim of the study was to model the discharge, biochemical and chemical oxygen demands (BOD and COD) loads in each cross section of Bertam River in Cameron Highlands, Malaysia. Cameron Highlands form the headwater catchment for two major rivers of the lowlands; Pahang River and Perak River. On the other hand, Cameron Highlands is undergoing rapid development … …American Journal of Applied Sciences, Vol. 9, Issue 3 · 27 Jan 2012 · 7,691 accessesView PDFCite
Research ArticleOpen accessIn the abstractModeling of Activated Sludge Floc CharacteristicsIbrahim H. Mustafa, G. Ibrahim, Ali Elkamel, A. H. ElahwanyProblem Statement: The activated sludge system needs to improve the operational performance and to achieve more effective control. To realize this, a better quantitative understanding of the biofloc characteristics is required. The objectives of this study were to: (i) Study the biofloc characteristics from kinetics-mass transfer interaction point of view by quantification of the weight of the aerobic portion of … …American Journal of Environmental Sciences, Vol. 5, Issue 1 · 28 Feb 2009 · 7,426 accessesView PDFCite