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120 articles for “Differential Equations”
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Research ArticleOpen accessIn the abstractDiffusion of Radioactive Materials in the AtmosphereAbdul-Wali Ajlouni, Manal Abdelsalam, Hussam Al-Rabai’ah, Abdullah M.S. AjlouniProblem statement: The dispersion of radioactive materials in the environment related to escaping of noble gases, halogens and aerosols of non-volatile radioactive materials, from the reactor containment during normal operations, or in the event of a sever reactor accident. Approach: radionuclide dispersion in the environment is demonstrated by mathematical tools which are the partial differential equations, mainly the diffusion equation. … …American Journal of Environmental Sciences, Vol. 5, Issue 1 · 28 Feb 2009 · 7,697 accessesView PDFCite
Research ArticleOpen accessIn the abstractComputer Model For Sieves' Vibrations Analysis, Using an Algorithm Based on the False-Position MethodDinu I. Stoicovici, Miorita Ungureanu, Nicu Ungureanu, Mihai BanicaThe analysis of the sieves vibrations in the case of screening civil engineering construction bulk materials is usual made by using some differential equations depending on parameters related to different material and sieves characteristics. One of those parameters is the throwing coefficient -c- that is the ratio between the force capable to throw up the particle from the sieve surface, … …American Journal of Applied Sciences, Vol. 6, Issue 1 · 31 Jan 2009 · 7,780 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 · 6,714 accessesView PDFCite
Research ArticleOpen accessIn the abstractMAM-An Aquivalence-based Dynamic Mass Balance Model for the Fate of Non-Volatile Organic Chemicals in the Agricultural EnvironmentMohammad A. Batiha, Abdul Amir H. Kadhum, Abu Bakar Mohamad et al.A Multimedia Agricultural Model (MAM) for predicting the fate and transport of Non-Volatile Organic Chemicals (NVOCs) in the agricultural environment was presented. It is an expanded and modified version of the three compartmental model introduced by Batiha and co-authors in 2007, which is an aquivalence-based level IV. MAM considered five environmental compartments to include the air, water, soil, sediment and … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 4 · 31 Dec 2008 · 8,122 accessesView PDFCite
Research ArticleOpen accessIn the abstractHomotopy Perturbation Method and Variational Iteration Method for Solving Zakharov-Kuznetsov EquationB. Ganjavi, H. Mohammadi, D.D. Ganji, A. BarariThis article investigates a nonlinear dispersive Zakharov-Kuznetsov ZK (3, 3, 3) equation. This equation governs the behavior of weakly nonlinear ion-acoustic waves in plasma comprising cold ions and hot isothermal electrons in the presence of a uniform magnetic field. Homotopy Perturbation Method (HPM) and Variational Iteration Method (VIM) are implemented for solving the ZK equation. Homotopy results were compared with … …American Journal of Applied Sciences, Vol. 5, Issue 7 · 31 Jul 2008 · 6,798 accessesView PDFCite
Research ArticleOpen accessIn the abstractOptimization of Barbell Trajectory During The Snatch Lift Technique By Using Optimal Control TheoryShahram Lenjan Nejadian, Mostafa Rostami, Farzad TowhidkhahMathematical modeling and optimizing of snatch lift technique based on dynamic synthesis, is the aim of this study. The barbell trajectory is proposed as the performance index, evaluated experimentally by several researchers who have introduced some optimum trajectories according to the percentage of their owners' successes. Since none of the mechanical parameters were considered into the optimum trajectories, we develop … …American Journal of Applied Sciences, Vol. 5, Issue 5 · 31 May 2008 · 7,716 accessesView PDFCite
Research ArticleOpen accessIn the abstractThree Dimensional Flow Analyses in a Diagonal Type MHD GeneratorTriwahju Hardianto, Nobuomi Sakamoto, Nob. HaradaThis paper studied development of the three dimensional flow fields in a diagonal channel MHD generator. A diagonal insulating sidewalls type channel is proposed in this work. The partial-differential equations for the three momentum, the enthalpy and the electrical fields are solved by a finite-difference calculation procedure. The turbulence phenomenon is represented by two-equation turbulence model. Calculations have been made … …American Journal of Applied Sciences, Vol. 3, Issue 8 · 31 Aug 2006 · 6,917 accessesView PDFCite
Research ArticleOpen accessIn the abstractLeast Square Approximation by Linear Combination of Exponential FunctionsBahman Mehri, Dariush Shadman, Sadegh JokarHere we were concerned with least square approximation by exponential functions for given data. In this manuscript, we approximate the given data such that this approximant satisfies a differential equation. The case of nonlinear differential equations was also considered. …Journal of Mathematics and Statistics, Vol. 2, Issue 2 · 30 Jun 2006 · 6,875 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Repairable System with N Failure Modes and K Standby Units Using Separation of Variable MethodKh. M. El-Said, N. A. AginaThis study deals with a repairable system with N failure modes and K standby unit. Using separation of variable method by solving linear ordinary differential equation for system equations obtained by using the supplementary variable method. …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,107 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordThe Solution to Some Hypersingular Integral EquationsAlexander G. RammGel’fand, I. M., & Shilov, G. E. (1964). Generalized Functions. Volume I: Properties and Operations (1st ed., Vol. 1). Academic Press. Hörmander, L. (1998). The Analysis of Linear Partial Differential Operators I (1st ed.). Springer Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96750-4 Ramm, A. G. (2022). The Navier-Stokes Problem (2nd ed.). Springer Nature. Ramm, A. G. (2023). Analysis of the Navier-Stokes problem (2nd ed.). … …Journal of Mathematics and Statistics, Vol. 20, Issue 1 · 25 May 2024 · 5,683 accessesView PDFCite