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46 articles for “analytical solutions”
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Research ArticleOpen accessPhrase in the titleFlow of Temperature-dependent Viscous Fluid Between Parallel Heated Walls: Exact Analytical Solutions in the Presence of Viscous DissipationK. S. Adegbie, F. I. AlaoWe examine steady incompressible flow of viscous liquids between parallel heated walls of plane Couette device. The temperature of the upper and lower walls of the device are maintained at T = Tb and T = T0 respectively. Of a particular interest are exact analytical solutions of the coupled non-linear differential equations resulting from plane Couette flow obtained for the … …Journal of Mathematics and Statistics, Vol. 3, Issue 1 · 31 Mar 2007 · 7,483 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleAnalytical Solutions of Riccati Fractional Equation with Coefficients Satisfying Differential Conditions with Arbitrary FunctionKhaled K. JaberNew exact solutions of the Fractional Riccati Differential equation are presented. Exact solutions are obtained in cases that the coefficient functions and an arbitrary function satisfy some differential conditions. In view of the conditions imposed on Riccati equation's coefficients we define and formulate the coefficients of the Riccati equation to obtain the differential cases, for each case the general solution … …Journal of Mathematics and Statistics, Vol. 13, Issue 4 · 27 Dec 2017 · 7,214 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleApproximate Analytical Solutions For Time-Dependent Emden-Fowler-Type Equations By Variational Iteration MethodKhaled BatihaThe main objective of the current study was to solve the time-dependent Emden-Fowler-type equation with singular behavior. The technique used here was called the variational iteration method (VIM). The advantage of this work is twofold. Firstly, the VIM reduces the computational work. Secondly, in comparison with existing techniques, the VIM is an improvement with regard to its accuracy and rapid … …American Journal of Applied Sciences, Vol. 4, Issue 7 · 31 Jul 2007 · 6,594 accessesView PDFCite
Research ArticleOpen accessIn the keywordsDynamic Propagation Problems of Mode III Semi-Infinite CrackLu Nian-Chun, Li Xin-Gang, Cheng Yun-Hong, Cheng JinBy means of the theory of complex functions, dynamic propagation problems of mode III semi- infinite crack were researched. The problems studied can be facilely transformed into riemann-hilbert problems and the universal expression of analytical solutions of stress, displacement and dynamic stress intensity factor under the conditions of moving increasing loads Px/t and Pt2/x, respectively, are very facilely obtained using … …American Journal of Engineering and Applied Sciences, Vol. 6, Issue 3 · 28 Aug 2013 · 7,284 accessesView PDFCite
Research ArticleOpen accessIn the keywordsVariable Separation and Boubaker Polynomial Expansion Scheme for Solving the Neutron Transport EquationDada O.M., O.B. Awojoyogbe, M. Agida, K. BoubakerProblem statement: In this study, we present general analytical solutions to the Neutron Boltzmann Transport Equation NBTE using a polynomial expansion scheme. Approach: Some simple assumptions have been introduced in the main system thanks to the Boubaker Polynomial Expansion Scheme (BPES) in order to make the general analytical procedure simple and adaptable for solving similar real life problems. Results: Finding … …Physics International, Vol. 2, Issue 1 · 21 Jan 2012 · 7,597 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn a Novel Closed-Form Analytical Solution for Unsteady Solidification: Theory and ApplicationGueber Elias Mendes Santos Júnior, Fernando S. Rocha, Ana Beatriz S. Silva et al.Numerical modeling of transient solidification under convective boundary conditions presents a significant challenge because accurately tracking the solid–liquid interface is essential for obtaining a stable solution. Although analytical solutions are generally straightforward to apply, the growing demand for energy storage driven by mismatches between supply and demand in renewable‑energy systems requires reliable predictive tools for Latent Heat Thermal Energy Storage … …American Journal of Engineering and Applied Sciences, Vol. 19, Issue 1 · 21 May 2026 · 1,680 accessesView PDFCite
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 · 3,133 accessesView PDFCite
Research ArticleOpen accessIn the abstractUse of Maple to Analytically Solve the Equations of an Electrical Circuit Containing a Resistor, Diodes and Voltage GeneratorM’hamed El Aydi, Mohammed Barkatou, Rachid Bendaoud et al.The role of technology and the use of software in the educational process are growing in recent times. The use of software is essential especially if the analytical method available is too complicated for the students. In this study, we used the Maple software to deal with two physics problems, in the first problem we consider an electrical circuit containing … …Journal of Computer Science, Vol. 16, Issue 12 · 1 Dec 2020 · 6,467 accessesView PDFCite
Research ArticleOpen accessIn the abstractSmart Manufacturing in Mining. Adopting Machine Learning to Improve a Copper Milling ProcessFederico Walas Mateo, Andrés Redchuk, Julian Eloy TornilloNowadays industries like mining are focused in the need of improving processes towards net zero emissions and accomplishing with united nations' sustainable development goals. This article presents a case at a copper mine where an artificial intelligence solution is adopted to optimize industrial processes. The paper illustrates the way a software solution using a low code platform framework can democratize … …Journal of Mechatronics and Robotics, Vol. 7, Issue 1 · 15 Apr 2023 · 6,317 accessesView PDFCite
Research ArticleOpen accessIn the abstractSingularity Analysis of a Hybrid Serial-Cable Driven Planar RobotSamir Lahouar, Lotfi RomdhaneIn this study, we address the problem of singularities of a hybrid serial-cable driven planar robot. Based on an analytical kinetostatic analysis three types of singularities are determined, i.e., serial, parallel, and combined singularities. In addition, cable tensions should be positive, otherwise, the robot will be uncontrollable. The serial singularity corresponds to positions where the serial port of the robot … …American Journal of Engineering and Applied Sciences, Vol. 15, Issue 3 · 26 Sep 2022 · 5,610 accessesView PDFCite