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...
Main Authors: | , |
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Other Authors: | |
Format: | Others |
Language: | en_US |
Published: |
2011
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Online Access: | http://ndltd.ncl.edu.tw/handle/86620925437710064503 |