Results 21 to 30 of about 814 (81)
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
Enhanced HBVMs for the numerical solution of Hamiltonian problems with multiple invariants
, 2013 Recently, the class of energy-conserving Runge-Kutta methods named Hamiltonian Boundary Value Methods (HBVMs), has been proposed for the efficient solution of Hamiltonian problems, as well as for other types of conservative problems.
Brugnano, Luigi, Sun, Yajuan
core +1 more source
Efficient implementation of geometric integrators for separable Hamiltonian problems
, 2013 We here investigate the efficient implementation of the energy-conserving methods named Hamiltonian Boundary Value Methods (HBVMs) recently introduced for the numerical solution of Hamiltonian problems.
Brugnano, Luigi +2 more
core +1 more source
Numerical solution of third order boundary value problems using one-step hybrid block method
Ain Shams Engineering Journal, 2019 Numerical hybrid block methods have been thought to be an appropriate method for solving ordinary differential equation. Therefore, this paper introduces a one-step hybrid block method of order five for directly solving third order boundary value ...
Ra’ft Abdelrahim
doaj +1 more source
New, Highly Accurate Propagator for the Linear and Nonlinear Schr\"odinger Equation
, 2012 A propagation method for the time dependent Schr\"odinger equation was studied leading to a general scheme of solving ode type equations. Standard space discretization of time-dependent pde's usually results in system of ode's of the form u_t -Gu = s ...
A. Alvermanna +20 more
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Alexandria Engineering Journal, 2018 In this paper we present a reliable method based on second kind Chebyshev polynomial for the approximate solution of fractional Bloch equation in Nuclear Magnetic Resonance (NMR). The main advantages of the proposed method that it converts the fractional
Harendra Singh, C.S. Singh
doaj +1 more source
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 +3 more sources
Numerical treatments of nonlinear Burgers–Fisher equation via a combined approximation technique
Kuwait Journal of ScienceA combined spectral matrix collocation strategy is presented to solve the time-dependent nonlinear Burgers–Fisher equation pertaining to various important physical mechanisms such as advection, diffusion, and logistic reaction.
Mohammad Izadi, Hari Mohan Srivastava
doaj +1 more source
Numerical comparisons among some methods for Hamiltonian problems
, 2010 We report a few sumerical tests comparing some newly defined energy-preserving integrators and symplectic methods, using either constant and variable stepsize.Comment: 5 pages, 8 ...
Brugnano, Luigi +2 more
core +1 more source