Numerical Blow-Up Time for a Semilinear Parabolic Equation with Nonlinear Boundary Conditions

<table>Evolution of the discrete
solution, <svg height="15.2875" id="M572" style="vertical-align:-3.50804pt" version="1.1" viewbox="0 0 36.049999 15.2875" width="36.049999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>, <svg height="15.2875" id="M573" style="vertical-align:-3.50804pt" version="1.1" viewbox="0 0 37.787498 15.2875" width="37.787498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> (implicit
scheme).</table>

Journal of Applied Mathematics

fig2

Figure 2

Figure 2: Numerical Blow-Up Time for a Semilinear Parabolic Equation with Nonlinear Boundary Conditions 