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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...
Boundary value problem for a classical semilinear parabolic equation
positive solution global existence blow-up omega-limit
2011/2/28
In this paper, we study the boundary value problem of the classical semilinear parabolic equations ut − u = |u|p−1u.
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...
Asymptotic Behavior for Discretizations of a Semilinear Parabolic Equation with a Nonlinear Boundary Condition
Semidiscretizations Semilinear parabolic equation Asymptotic behavior Convergence
2010/1/22
This paper concerns the study of the numerical approximation for the following initial-boundary value problem: (P) where , and . We show that the solution of a semidiscrete form of (P) goes to ...
In this paper we prove the solution of explicit difference scheme for a
semilinear parabolic equation converges to the solution of difference
scheme for the relevant nonlinear stationary problem as ...
LONG TIME ASYMPTOTIC BEHAVIOR OF SOLUTION OF DIFFERENCE SCHEMEFOR A SEMILINEAR PARABOLIC EQUATION
Asymptotic behavio implicit difference scheme semilinear parabolic equation
2007/12/12
In this paper we prove that the solution of implicit difference scheme
for a semilinear parabolic equation converges to the solution of
difference scheme for the corresponding nonlinear stationary...