Quenching for semidiscretizations of a semilinear heat equation with potential and general nonlinearity
This paper concerns the study of the numerical approximation for the following boundary value problem \begin{equation*} \begin{cases} u_t(x,t)-u_{xx}(x,t)= -a(x)f(u(x,t)), & 0<x<1,\; t>0, \\ u_x(0,t)= 0, u(1,t)=0, & t>0, \\ u(x,0)= u_{0}(x)>0, & 0\leq x \leq 1, \\ \...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2011-08-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
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| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1046 |