Results 11 to 20 of about 64 (63)
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.
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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
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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
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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
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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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A numerical approach for investigating a special class of fractional Riccati equation
Results in Physics, 2020 A computational scheme for solving special type of fractional Riccati equation with singularly perturbed (FRSP) is investigated. It is based on dividing the equation into algebraic equation and fractional equation.
Bothayna S. Kashkari, Muhammed I. Syam
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Stability analysis of linear multistep methods for delay differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 3, Page 447-458, 1986., 1986 Stability properties of linear multistep methods for delay differential equations with respect to the test equation 0 < λ < 1, are investigated. It is known that the solution of this equation is bounded if and only if |a| < −b and we examine whether this property is inherited by multistep methods with Lagrange interpolation and by parametrized Adams ...
V. L. Bakke, Z. Jackiewicz
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Uniform stability of linear multistep methods in Galerkin procedures for parabolic problems
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 4, Page 651-667, 1979., 1979 Linear multistep methods are considered which have a stability region S and are D‐stable on the whole boundary ∂S ⊂ S of S. Error estimates are derived which hold uniformly for the class of initial value problems Y′ = AY + B(t), t > 0, Y(0) = Y0 with normal matrix A satisfying the spectral condition Sp(ΔtA) ⊂ S, Δt time step, Sp(A) spectrum of A ...
Eckart Gekeler
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