Numerical Blow-up Problems for a Convective Reaction-diffusion Equation

碩士 === 國立中正大學 === 數學研究所 === 102 === We consider a finite difference scheme for the convective reaction-diffusion equation $u_t=u_{xx}+\alpha(u^m)_x+u^{\beta}, (0< x< 1,~ 0<t)$, where $\beta>m\geqslant 1$ and $\alpha>0$ are parameters. For many differential equations or systems the sol...

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Bibliographic Details
Main Authors: Yi-Chien Wu, 吳依蒨
Other Authors: CHIEN-HONG CHO
Format: Others
Language:en_US
Published: 2014
Online Access:http://ndltd.ncl.edu.tw/handle/24834213527151025431