This paper presents some numerical examples concerning the pantograph equation y'(t) = ay(t) -t by(qt) for different values of the parameters a, b, q, satisfying the conditions Ial + b < 0, 0 < 1 -q << 1. "Naive" interpretation of these examples could lead to wrong conclusion on the asymptotic behav
Numerical investigation of the generalized lubrication equation
β Scribed by E. Momoniat; C. Harley; E. Adlem
- Book ID
- 108051886
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 291 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0096-3003
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π SIMILAR VOLUMES
## It shown that formulation of generalized Langevin leads to non-decaying correlation (x, R(t) ) = x, R ) where R ( t ) is the random acceleration at time t, x is the position of a Brownian particle at t=O and R = R( 0). This is a serious difficulty in view of the fundamental requirement form irr
dq N dp N Ο const, (3a) A numerical method for the time evolution of systems described by Liouville-type equations is derived. The algorithm uses a lattice of numerical markers, which follow exactly Hamiltonian trajectories, to represent the operator d/dt in moving (i.e., Lagrangian) coordinates. H