52 results for “finite difference”

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Research ArticleOpen accessIn the keywordsNumerical 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 · 8,198 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsOn 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 · 6,714 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsInvestigation of Pile- Soil Interaction Subjected to Lateral Loads in Layered SoilsA. Avaei, Abdoul R. Ghotbi, M. AryafarTo stabilize infrastructures such as tall buildings, bridges, etc., piles are used to resist lateral loads created from earth pressure, wind, waves and earthquake extensively. Pile design requires understanding of how the load is transferred from a pile to surrounding soil and vice versa. Pile properties, soil stress-strain behavior and pile-soil interaction play important roles in pile-response subjected to lateral … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 1 · 31 Mar 2008 · 7,339 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsNumerical Analysis of Pressure Pulses in the Jerk Fuel Injection SystemsR. A. Baker, T. FirozComputer software has been developed and described in the present study of thorough parametric analysis and design of a mechanical diesel fuel injection system. The method is based on the numerical solution of one dimensional, unsteady, incompressible flow equations through the fuel pipe along with appropriate initial condition, pump end boundary condition and nozzle end boundary condition. Method of characteristics … …American Journal of Applied Sciences, Vol. 2, Issue 5 · 31 May 2005 · 7,155 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsEvaluation of the Stability of Underground Rock Pillars through a Probabilistic ApproachMassimo Guarascio, Pierpaolo OresteProblem statement: When the room and pillar mining method is adopted, the dimensioning of the rock pillars is one of the most important aspects that need to be faced from the engineering point of view. The available calculation methods are usually simplified and involve the areas of influence method for the evaluation of the mean axial stress induced in the … …American Journal of Applied Sciences, Vol. 9, Issue 8 · 30 Jun 2012 · 7,031 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsNumerical Study of Tsunami Waves with Sloping Bottom and Nonlinear FrictionAgustinus RibalIn this paper we investigate the breaking of long-waves propagating on shallow water with nonlinear friction on the sloping bottom. A complete set of equations is presented and a numerical method is developed to simulate the wave propagation. The method uses an up-wind difference scheme for the nonlinear convective term and the central difference scheme for other derivative terms. Various … …Journal of Mathematics and Statistics, Vol. 4, Issue 1 · 31 Mar 2008 · 7,129 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsMagneto Convection in Tilted Square Cavity with Differentially Thermally Active Vertical WallsGokila Subbarayalu, Selladurai VelappanProblem statement: The purpose of this study is to study numerically the magnetoconvection in a tilted square cavity with differentially thermally active vertical walls. The two vertical side walls of tilted enclosure are differentially thermally active, each consisting of alternating equal sized hot and cold surface elements facing each other in an opposed manner while the horizontal top and bottom … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 25 May 2011 · 7,355 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsNumerical Investigation of Incompressible Fluid Flow through Porous Media in a Lid-Driven Square CavityM.A. Mohd Irwan, A. M. Fudhail, C.S. Nor Azwadi, G. MasoudProblem statement: Investigation of fluid flow behavior through porous media in a liddriven square cavity. Approach: The Brinkman-Forcheimer equation is coupled with the lattice Boltzmann formulation to predict the velocity field in the system. Three numerical experiments were preformed with different values of Darcy number to investigate the effect of porosity on the fluid flow. Results: In the current study, … …American Journal of Applied Sciences, Vol. 7, Issue 10 · 31 Oct 2010 · 7,405 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsGroundwater Resources Management in Various Scenarios Using Numerical ModelS. Askari Marnani, M. Chitsazan, Y. Mirzaei, B. JahandidehProblem statement: Iran is an arid country and only small percent of its water demand is met by rainfall. At present, about 55% of Iran's water being supplied by aquifers and 45% from surface water. Population growth, joint with economic development and rapid growth in industry and farming, has caused a vast increase in demand for water in Iran. But … …Current Research in Geoscience, Vol. 1, Issue 1 · 30 Jun 2010 · 13,769 accessesView PDF Cite

Research ArticleOpen accessIn the abstractDevelopment and Validation of a 2D Finite Element Model for Air Pollution Dispersion (SUITE-2D)Youssef Ismail HafezThis paper presents the development and validation of SUITE-2D (Solving Unsteady Incompressible Transport Equation in Two Dimensions), a two-dimensional finite element model for solving the advection-diffusion transport equation with decay and source terms. The model provides an efficient and accurate approach for simulating pollutant dispersion in environmental systems. The finite element formulation uses the standard Galerkin method, with numerical integration … …American Journal of Environmental Sciences, Vol. 21, Issue 1 · 22 Dec 2025 · 3,127 accessesView PDF Cite