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Blow-up time for a semilinear parabolic equation with variable reaction
Semilinear parabolic equation blow-up numerical blow-up time
2011/4/6
In this paper, we address the solution of a semilinear heat equation with variable reaction subject to Dirichlet boundary conditions and nonnegative initial datum. Under some assumptions, we show that...
Explicit Runge-Kutta time integrators for one dimensional spatially discrete semilinear parabolic equation
Semilinear parabolic equation Runge-Kutta methods
2010/9/26
Explosive instabilities in two uniform spatially discrete schemes for a semilinear parabolic equation in one space dimension are studied by intensive numerical simulations. We shows for both schemes t...