155 articles for “differential equation”

Research ArticleOpen accessIn the abstractFuzzy Reliability and Fuzzy Availability of the Serial Process in Butter-Oil Processing PlantKuldeep Kumar, Jai Singh, Pawan KumarProblem statement: The purpose of this study was to compute fuzzy reliability and fuzzy availability of the serial process in butter-oil processing plant for various choices of failure and repair rates of sub-system. This plant consists of eight sub-systems out of which two are supported by stand-by units with perfect switch over devices and considered that these two sub-systems never … …Journal of Mathematics and Statistics, Vol. 5, Issue 1 · 31 Mar 2009 · 8,014 accessesView PDF Cite

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 · 7,422 accessesView PDF Cite

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 PDF Cite

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 PDF Cite

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 PDF Cite