A finite difference scheme for blow-up solutions of the convective reaction-diffusion equations

碩士 === 國立中正大學 === 應用數學研究所 === 99 === In this paper, we consider a nite dierence scheme for the convective reaction-diusion equations ut = uxx + (um)x + u^beta; (0<=x<=1; 0<=t), where beta>m>=1 and alpha > 0 are parameters. We prove that the numerical solutions blow up in nite time...

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Bibliographic Details
Main Authors: Chia-Feng Chang, 張家豐
Other Authors: Chien-Hong Cho
Format: Others
Language:en_US
Published: 2011
Online Access:http://ndltd.ncl.edu.tw/handle/10110474997094569867