On the Computation of Blow-up Solutions for Semilinear ODEs and Parabolic PDEs

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="162034.fig.002a" src="https://static.hindawi.com/articles/mpe/volume-2012/162034/figures/162034.fig.002a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>By PECE-implicit Euler</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="162034.fig.002b" src="https://static.hindawi.com/articles/mpe/volume-2012/162034/figures/162034.fig.002b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>By midpoint-implicit Euler</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="162034.fig.002c" src="https://static.hindawi.com/articles/mpe/volume-2012/162034/figures/162034.fig.002c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>By ode45</td></tr></table></td></tr><tr class="fig-image" id="d"><td><img alt="162034.fig.002d" src="https://static.hindawi.com/articles/mpe/volume-2012/162034/figures/162034.fig.002d.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(d) </b>By ode15s</td></tr></table></td></tr></table>

<table>Numerical solution of (<a href="https://static.hindawi.com/articles/mpe/volume-2012/162034/figures/#EEq8">3.1</a>).</table>

Mathematical Problems in Engineering

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Figure 2

Figure 2: On the Computation of Blow-up Solutions for Semilinear ODEs and Parabolic PDEs 