On the Numerical Blow-up Set for the Semilinear Heat Equation
碩士 === 國立中正大學 === 數學研究所 === 102 === We consider the finite difference approximation for the semilinear heat equation u_t = u_xx+f(u) (0 < t; 0 < x < 1) with nonnegative initial data u(0, x) = u_0(x) (0 < x < 1) and the Dirichlet boundary condition u(t, 0) = u(t, 1) = 0 (t > 0). It...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2014
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| Online Access: | http://ndltd.ncl.edu.tw/handle/62799852668203467490 |