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134 articles for “Numerical Solution”
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Research ArticleOpen accessPhrase in the titleNumerical Solution of Linear Integro-Differential EquationsHusein Jaradat, Omar Alsayyed, S. Al-SharaProblem Statement: Integro-differential equations find special applicability within scientific and mathematical disciplines. In this study, an analytical scheme for solving Integrodifferential equations was presented. Approach: We employed the Homotopy Analysis Method (HAM) to solve linear Fredholm integro-differential equations. Results: Error analysis and illustrative examples were included to demonstrate the validity and applicability of the technique. MATLAB 7 was used to … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 7,093 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleNumerical Modeling of Economical Market Forces for an Intelligent Delivery of Dynamical Optimal Impact Solution (DOI)Mahmoud Iskandarani, Ghaleb El-RefaeAn intelligent model for the purpose of evaluating and affecting delivery of services as a function of initial capital investment is developed and discussed. The algorithm associated with such a model, maps the principles of sustainability of business success as dependent not only on the content of the business but also on the impact that it has on the beneficiaries … …American Journal of Applied Sciences, Vol. 4, Issue 2 · 28 Feb 2007 · 7,308 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn 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 · 1,668 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA 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 · 8,621 accessesView PDFCite
Research ArticleOpen accessIn the keywordsDiscretized Scheme Examining Convergence and Geometric Ratio Profiles for Control Problem Constrained by Evolution EquationO. OlotuProblem statement: Here, we develop a discretized scheme using only the penalty method without involving the multiplier parameter to examine the convergence and geometric ratio profiles. Approach: This approach reduces computational time arising from less data manipulation. Objectively, we wish to obtain a numerical solution comparing favourably with the analytic solution.. Methodologically, we discretize the given problem, obtain an unconstrained … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,370 accessesView PDFCite
Research ArticleOpen accessIn the keywordsEffects of Higher Order Dispersion Terms in the Nonlinear Schrodinger EquationRobert Beech, Frederick OsmanThis study presents a concise graphical analysis of solitonic solutions to a nonlinear Schrodinger equation (NLSE). A sequence of code using the standard NDSolve function has been developed in Mathematica to investigate the acceptable accuracy of the NLSE in relatively small ranges of the dispersive parameter space. An operator splitting approach was used in the numerical solutions to expand the … …American Journal of Applied Sciences, Vol. 2, Issue 9 · 30 Sep 2005 · 6,491 accessesView PDFCite
Research ArticleOpen accessIn the keywordsApplication of Optimal Control to the Epidemiology of Fowl Pox Transmission Dynamics in PoultryUdofia Ekere Sunday, Inyama Simeon ChiomaProblem statement: In this study, we present the mathematical model of the transmission dynamics of fowl pox infection in poultry. Approach: It describes the interaction between the susceptible and the infected birds which results in a system of ordinary differential equation. Introducing the control which represents the effort in applying chemoprophylaxis control u1 and treatment control u2 in birds with … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 13 Jun 2012 · 6,955 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 · 3,127 accessesView PDFCite
Research ArticleOpen accessIn the abstractA GUI-Enabled, Automated LSTM-Based Inverse Kinematics Pipeline for 6-DOF Robotic Arms Using MATLAB and CoppeliaSimWaleed Abdulrahman Saleh Al-Akwa, Mohammed Abdulwahab Ahmed DabaExisting deep learning-based inverse kinematics (IK) solutions often target specific robotic arms and require significant modifications when applied to different configurations. To support early-phase design and testing of 6-degree-of-freedom (6-DOF) robotic arms, this study presents a fast and adaptable IK solution through a user-friendly interface. Unlike traditional numerical methods that are computationally intensive, sensitive to initial conditions, and may not … …Journal of Mechatronics and Robotics, Vol. 9, Issue 1 · 26 May 2025 · 8,252 accessesView PDFCite
Research ArticleOpen accessIn the abstractPolymer Processing and Performance Testing Based on Kruskal Algorithm for Numerical AnalysisYan TangPolymer processing is an injection molding product widely used in communication, medical, and other fields. The processing and forming of polymers involve complex processes, including many parameter controls to ensure the quality of finished products. This study innovatively uses the Kruskal algorithm to conduct numerical analysis on the performance of polymer processing and molding to obtain a scientifically efficient parameter … …American Journal of Biochemistry and Biotechnology, Vol. 20, Issue 3 · 29 Jul 2024 · 4,270 accessesView PDFCite