Results 11 to 20 of about 1,053 (100)
Fractional boundary value problems: Analysis and numerical methods [PDF]
, 2008 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 ...
Bakar, Norliza Tendot Abu +6 more
core +4 more sources
Stable Attracting Sets in Dynamical Systems and in Their One-Step Discretizations [PDF]
, 1986 We consider a dynamical system described by a system of ordinary differential equations which possesses a compact attracting set Λ of arbitrary shape.
Kloeden, P. E., Lorenz, J.
core +1 more source
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
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
Multi-step derivative-free preconditioned Newton method for solving systems of nonlinear equations [PDF]
, 2017 Preconditioning of systems of nonlinear equations modifies the associated Jacobian and provides rapid convergence. The preconditioners are introduced in a way that they do not affect the convergence order of parent iterative method.
Ahmad, Fayyaz
core +2 more sources
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
On convexity of solutions of ordinary differential equations [PDF]
, 2010 We prove a result on the convex dependence of solutions of ordinary differential equations on an ordered finite-dimensional real vector space with respect to the initial data.Comment: 10 ...
Keller-Ressel, Martin +2 more
core +2 more sources
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
wiley +1 more source
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
wiley +1 more source
ANALYTICAL SOLUTION OF BAGLEY TORVIK EQUATION BY GENERALIZE DIFFERENTIAL TRANSFORM
, 2016 In the present paper, we use generalized differential transform method (GDTM) to derive solution of Bagley Torvik equation. The fractional derivative are described in the Caputo sense.
M. Bansal, R. Jain
semanticscholar +1 more source