Electronic Journal of Differential Equations,
Conf. 10 (2002), pp. 23-31.
Title: An adaptive numerical method for the wave equation
with a nonlinear boundary condition
Authors: Azmy S. Ackleh (Univ. of Louisiana at Lafayette, USA)
Keng Deng (Univ. of Louisiana at Lafayette, USA)
Joel Derouen (Univ. of Louisiana at Lafayette, USA)
Abstract:
We develop an efficient numerical method for
studying the existence and non-existence of global solutions to the
initial-boundary value problem
\begin{gather*}
u_{tt}=u_{xx}\quad 00,\\
-u_{x}(0,t)=h(u(0,t)) \quad t>0,\\
u(x,0)=f(x),\quad u_{t}(x,0)=g(x) \quad 0