On the convergence of numerical blow-up time for a second order nonlinear ordinary differential equation

Authors :: Cho, Chien-Hong
Source :: Applied Mathematics Letters. Jan2011, Vol. 24 Issue 1, p49-54. 6p.
Publication Year :: 2011
Abstract: Abstract: We consider the blow-up ODE problem , and a finite difference analogue, whose solution also blows up in finite time. In this paper, not only the convergence of the numerical blow-up time is proved but also the error estimate for the convergence is derived. [ABSTRACT FROM AUTHOR]

Subjects :: *STOCHASTIC convergence
*NUMERICAL analysis
*BLOWING up (Algebraic geometry)
*NONLINEAR differential equations
*FINITE differences
*MATHEMATICAL analysis

Full Text Access

Tools