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56 articles for “Exact Solution”
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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 abstractSemantic Forensic Investigation Framework for Drone FieldOmair AmeerbakhshThe application of Unmanned Aerial Vehicles (UAVs) is extensive, with uses ranging from smart agriculture to photography, maintaining infrastructure, and disaster recovery. However, incidents involving unmanned aerial vehicles are increasing daily due to their widespread use in smart technologies. Therefore, this study focuses on the ground of drone forensic investigation to capture and investigate incidents involving unmanned aerial vehicles. To … …Journal of Computer Science, Vol. 19, Issue 2 · 29 Jan 2023 · 6,226 accessesView PDFCite
Research ArticleOpen accessIn the abstractUnicycle Robot’s Navigation Control with Obstacle Avoidance and Asymptotic StabilityJuan Andrés Roteta Lannes, Andres Gabriel GarciaThis study builds upon the groundbreaking research of Asymptotic stability of unicycle-like robots with the Bessel’s controller continuing the exploration of asymptotic stability for non-holonomic robots through kinematic modeling that allows for obstacle avoidance. utilizing the previously derived Bessel's controller, the study defines an avoidance region containing obstacles, presenting an algorithm that relies solely on the distance to the obstacle. … …American Journal of Engineering and Applied Sciences, Vol. 17, Issue 1 · 28 Feb 2024 · 5,045 accessesView PDFCite
Research ArticleOpen accessIn the abstractEquivalent Torsional-Warping Stiffness of Cores with Thin-Walled Open Cross-Section Using the Vlasov Torsion TheoryTriantafyllos Konstantinos MakariosIn order to calculate the equivalent torsional-warping stiffness of the Reinforced Concrete (RC) cores that have thin-walled open cross-section, a new analytical methodology, which combines the Vlasov torsion theory with the Bernoulli bending theory, is presented herein. As the basis of the calculations, we use the principal elastic reference system of the core from this we consider that is known. … …American Journal of Engineering and Applied Sciences, Vol. 16, Issue 2 · 23 May 2023 · 6,406 accessesView PDFCite
Research ArticleOpen accessIn the abstractFeasibility Analysis of Non-Preemptive Periodic Systems from Infeasibility PerspectiveNasro Min-AllahDue to simple implementation, non-preemptive scheduling has the advantage over preemptive counterpart when it comes to deployment of real-time systems. Accordingly, many feasibility techniques have been established to answer schedulability of the task set for non-preemptive case. The time complexity of exact condition for non-preemptive under dynamic priority assignment is of pseud-polynomial nature. Recently, efforts are made to decrease the … …Journal of Computer Science, Vol. 15, Issue 9 · 9 Sep 2019 · 7,623 accessesView PDFCite
Research ArticleOpen accessIn the abstractSolution of Second Order Ordinary Differential Equation Associated with Toeplitz and Stiffness MatricesSami H. AltoumIn this work we develop a technique solution of second order ordinary differential equation (integrating by parts) to reach to Toeplitz matrices and Stiffness matrix to solve O.D.Es. We investigate that solution numerically using finite difference method and we find the error between exact and numerical solution computed using finite element. …American Journal of Applied Sciences, Vol. 15, Issue 8 · 30 Oct 2018 · 7,452 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the General Solution to the Bratu and Generalized Bratu EquationsLucas Hervé Koudahoun, Jean Akande, Damien Kêgnidé Kolawolé Adjaï et al.This work shows that the Bratu equation belongs to a general class of Liénard-type equations for which the general solution may be exactly and explicitly computed within the framework of the generalized Sundman transformation. In this perspective the exact solution of the Bratu nonlinear two-point boundary value problem as well as of some well-known Bratu-type problems have been determined. …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 14 Jul 2018 · 7,689 accessesView PDFCite
Research ArticleOpen accessIn the abstractExact Classical and Quantum Mechanics of a Generalized Singular Equation of Quadratic Liénard TypeLucas H. Koudahoun, Jean Akande, Damien K.K. Adjaï et al.Authors introduce a generalized singular differential equation of quadratic Liénard type for study of exact classical and quantum mechanical solutions. The equation is shown to exhibit periodic solutions and to include the linear harmonic oscillator equation and the Painlevé-Gambier XVII equation as special cases. It is also shown that the equation may exhibit discrete eigenstates as quantum behavior under Nikiforov-Uvarov … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 5 Jul 2018 · 7,614 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Review of the Recent Advances Made in the Black-Scholes Models and Respective Solutions MethodsYasir Hamad Al Saedi, Gurudeo Anand TularamThe Black-Scholes model has been a major advance in finance over a period of time; this paper examines this model in some detail, in terms of the latest developments in both analytical and numerical solutions. The paper initially briefly examines historical aspects but quickly moves to a critical analysis of the works in the applications, solutions and implications for the … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 8 Jan 2018 · 8,625 accessesView PDFCite
Research ArticleOpen accessIn the abstractPersian Curve Versus Monte Carlo MethodAbdolrasoul Ranjbaran, Mohammad Ranjbaran, Fatema RanjbaranThe Monte Carlo Simulation method is a powerfultool for solving problems including random variables. The basic idea toimplement a Monte Carlo simulation is to first generate samples of randominputs from their assumed distributionfunctions and then perform a deterministic calculation on the generated randominputs, based on mathematical modeling of the system, to obtain output results.An early version of Monte Carlo simulation … …International Journal of Structural Glass and Advanced Materials Research, Vol. 5, Issue 1 · 6 Jul 2021 · 8,304 accessesView PDFCite