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52 articles for “Difference equation”
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Research ArticleOpen accessIn the abstractAnalytical 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 · 9,492 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 abstractTowards Some General Ecological PrinciplesArild WikanDiscrete deterministic age-structured, stage-structured and difference delay equation population models are analysed and compared with respect to stability and nonstationary behaviour. All three models show that species with iteroparous life histories tend to be more stable than species with semelparous life histories which allow us to conclude that this must be a fairly general ecological principle. Considering iteroparity, the precocious … …Journal of Mathematics and Statistics, Vol. 8, Issue 4 · 3 Jan 2013 · 6,931 accessesView PDFCite
Research ArticleOpen accessIn the abstractComputational Techniques for Stability Analysis of a Class of Dynamic Economic ModelsGeorge E. Halkos, Kyriaki D. TsilikaModern microeconomics and macroeconomics study dynamic phenomena. Dynamics could predict future states of an economy based on its structural characteristics. Dynamic models in discrete time discrete state economic systems may take the form of one single linear difference equation or a system of linear difference equations. In this study we use Xcas and Mathematica as software tools in order to … …American Journal of Applied Sciences, Vol. 9, Issue 12 · 12 Dec 2012 · 7,388 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Estimation of X-Radiation Output using Mathematic ModelSuchart Kothan, Montree TungjaiProblem statement: Diagnosis x-ray radiation safety is key in medical examination. The quantity of patient radiation doses is beneficial for radiation protection of the patient. It was proposed that the equation for estimating the output (milliReongent, mR) from x-ray machines. Approach: A was 0.5, 0.8 and 1.0 for single phase, three phases and high frequency x-ray machines, respectively. To compare … …American Journal of Applied Sciences, Vol. 8, Issue 9 · 13 Aug 2011 · 7,758 accessesView PDFCite
Research ArticleOpen accessIn the abstractInvestment, Taxes and the Cost of Capital: An Euler Equation Specification TestHuntley SchallerProblem statement: Previous studies (primarily employing goodness-of-fit tests) have found it difficult to provide clear and direct evidence that taxes and the interest rate have a strong influence on investment. Approach: The objective of this study was to test whether the cost of capital, which includes taxes and the interest rate, affects investment. This study used the Euler equation for … …American Journal of Economics and Business Administration, Vol. 2, Issue 3 · 30 Sep 2010 · 7,620 accessesView PDFCite
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 abstractComparison of Daily and Monthly Results of Three Evapotranspiration Models in Tropical Zone: A Case StudySeyed Reza Saghravani, Sa’ari Mustapha, Shaharin Ibrahim, Elias RandjbaranProblem statement: Evapotranspiration (ET) has crucial role in agricultural activity, water management and hydraulic engineering. Recently many forms of the equation have been applied for estimating daily and monthly evapotranspiration around the world. Approach: In this study, the daily and monthly ET was estimated by Penman, Penman-Monteith (P&M) and Hargreaves equation to evaluate general relationships for estimating monthly and daily … …American Journal of Environmental Sciences, Vol. 5, Issue 6 · 31 Dec 2009 · 7,648 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 abstractCombustion of Bimodal Nano/Micro Aluminum Suspension with New Reaction Rate ModelM. Bidabadi, N. Moallemi, I. Shafieenejad, M. JadidiIn this study a mathematical model for combustion of bimodal particle in lean flow was developed. The difference between structure of flame in this work and previous ones was that, in those flame was divided by five zones and reaction rate was considered to be constant in reaction zones and also zero in post flame zone. In reality it was … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 4 · 31 Dec 2008 · 6,800 accessesView PDFCite