On the Numerical Blow-up Set for the Semi-linear Heat Equation

碩士 === 國立中正大學 === 應用數學研究所 === 99 === We consider the semi-linear parabolic blow-up problem u_t=u_{xx}+f(u) (0<x<1, t>0) with certain choices of f and their finite difference analogues whose solutions also blow up in finite time. In this paper, we are going to classify the exact numerical bl...

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Bibliographic Details
Main Authors: Chen, Ke-Ming, 陳克鳴
Other Authors: Cho, Chien-Hong
Format: Others
Language:en_US
Published: 2011
Online Access:http://ndltd.ncl.edu.tw/handle/86620925437710064503