An adaptive numerical method for the wave equation with a nonlinear boundary condition

We develop an efficient numerical method for studying the existence and non-existence of global solutions to the initial-boundary value problem {gather*} u_{tt}=u_{xx}quad 0<x<infty,; t>0, -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<x<infty. end{gather*}...

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Bibliographic Details
Main Authors: Azmy S. Ackleh, Keng Deng, Joel Derouen
Format: Article
Language:English
Published: Texas State University 2003-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/10/a3/abstr.html