Results 11 to 20 of about 845 (103)
Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles [PDF]
, 2020 Gyrocenter dynamics of charged particles plays a fundamental role in plasma physics. In particular, accuracy and conservation of energy are important features for correctly performing long-time simulations.
Brugnano, Luigi +2 more
core +2 more sources
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
Fractional boundary value problems: Analysis and numerical methods [PDF]
, 2011 This is the author's PDF of an article published in Fractional calculus and applied analysis 2011. The original publication is available at www.springerlink.comThis journal article discusses nonlinear boundary value problems.Fundacao para a Ciencia e ...
Ford, Neville J., Morgado, Maria L.
core +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
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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
Alexandria Engineering Journal, 2020 In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi +2 more
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A Laplace decomposition algorithm applied to a class of nonlinear differential equations
Journal of Applied Mathematics, Volume 1, Issue 4, Page 141-155, 2001., 2001 In this paper, a numerical Laplace transform algorithm which is based on the decomposition method is introduced for the approximate solution of a class of nonlinear differential equations. The technique is described and illustrated with some numerical examples.
Suheil A. Khuri
wiley +1 more source
Time parallelization scheme with an adaptive time step size for solving stiff initial value problems
Open Mathematics, 2018 In this paper, we introduce a practical strategy to select an adaptive time step size suitable for the parareal algorithm designed to parallelize a numerical scheme for solving stiff initial value problems. For the adaptive time step size, a technique to
Bu Sunyoung
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