Results 11 to 20 of about 985 (108)
Orthogonal-Based Second Order Hybrid Initial Value Problem Solver
Fountain Journal of Natural and Applied Sciences (FUJNAS), 2016 This work focuses on development of an initial value problem solver by employing a new class of orthogonal polynomial, the basis function. We present the recursive formula of the class of polynomials constructed and adopt collocation technique to ...
E. O. Adeyefa +3 more
doaj +3 more sources
Pioneering Numerical Techniques for Solving Differential Equations - A Comprehensive overview [PDF]
ITM Web of ConferencesThe field of numerical analysis studies the application of mathematics to solve problems of practical importance. When solving differential equations derived from real-world scenarios, numerical techniques play a crucial role, particularly when a closed ...
Ch Swapna +2 more
doaj +1 more source
A novel study for solving systems of nonlinear fractional integral equations
Applied Mathematics in Science and Engineering, 2023 In this study, we explore the solution of a nonlinear system of fractional integro-differential equations based on the operational matrix method.
Sondos M. Syam +4 more
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A reliable method for first order delay equations based on the implicit hybrid method
Alexandria Engineering Journal, 2020 In this paper, a reliable approach based on the implicit hybrid method is presented to solve first order delay problems. The main difficulty in this approach is that, some points are not grid points.
Muhammed I. Syam, Mohammed Al-Refai
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Accurate Four-Step Hybrid Block Method for Solving Higher-Order Initial Value Problems
مجلة بغداد للعلوم, 2022 This paper focuses on developing a self-starting numerical approach that can be used for direct integration of higher-order initial value problems of Ordinary Differential Equations.
Olanegan, O. O., Adeyefa, E. O.
doaj +1 more source
A Priori Error Estimates for Mixed Finite Element $\theta$-Schemes for the Wave Equation [PDF]
, 2015 A family of implicit-in-time mixed finite element schemes is presented for the numerical approximation of the acoustic wave equation. The mixed space discretization is based on the displacement form of the wave equation and the time-stepping method ...
Karaa, Samir
core +5 more sources
Acceleration of Runge‐Kutta integration schemes
Discrete Dynamics in Nature and Society, Volume 2004, Issue 2, Page 307-314, 2004., 2004 A simple accelerated third‐order Runge‐Kutta‐type, fixed time step, integration scheme that uses just two function evaluations per step is developed. Because of the lower number of function evaluations, the scheme proposed herein has a lower computational cost than the standard third‐order Runge‐Kutta scheme while maintaining the same order of local ...
Phailaung Phohomsiri, Firdaus E. Udwadia
wiley +1 more source
Generalized solutions of the fractional Burger’s equation
Results in Physics, 2019 We investigate the solutions for the fractional Burger’s equation based on the Jumarie fractional derivative using Bernoulli polynomials. We find general solutions for such problems. Comparison with other methods is presented.
Muhammed I. Syam +4 more
doaj +1 more source
Gaussian quadrature rules and A‐stability of Galerkin schemes for ODE
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 31, Page 1947-1959, 2003., 2003 The A‐stability properties of continuous and discontinuous Galerkin methods for solving ordinary differential equations (ODEs) are established using properties of Legendre polynomials and Gaussian quadrature rules. The influence on the A‐stability of the numerical integration using Gaussian quadrature rules involving a parameter is analyzed.
Ali Bensebah +2 more
wiley +1 more source
Modeling micro-macro pedestrian counterflow in heterogeneous domains [PDF]
, 2010 We present a micro-macro strategy able to describe the dynamics of crowds in heterogeneous media. Herein we focus on the example of pedestrian counterflow. The main working tools include the use of mass and porosity measures together with their transport
Evers, Joep, Muntean, Adrian
core +12 more sources