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On the output stabilizability of the diffusion equation
Infinite dimensional systems controllability
2010/9/25
This note is devoted to study the output stabilizability of a simplified and a one-dimensional diffusion equation. Necessary and sufficient conditions for the system to be output stabilizable will be ...
A modified backward Euler scheme for the diffusion equation subject to purely integral conditions
Diffusion equation Modified backward Euler method
2010/9/25
In this paper, a modified backward Euler scheme is developped for obtaining approximate solution to the initial-boundary value problem for one-dimensional diffusion equation with purely integral condi...
A class of parallel iterative method for 1D diffusion equation
diffusion equations periodic boundary value iterative method
2010/9/10
In this paper, we first derive an absolutely stable implicit finite difference scheme with four order accurate in spatial step size and two order in time step size for diffusion equations. Based on th...
Efficient techniques for the diffusion equation subject to the specification of energy
Diffusion equation nonlocal boundary condition
2010/9/17
An efficient numerical technique is developed for the solution of the diffusion equation: ut = uxx + s(x, t), 0 < x < X, 0 < t ≤ T, subject to u(x, 0) = f(x), 0 < x < X,u(1, t) = g(t), 0 < t ≤ T and t...
Attractors for a Nonclassical Diffusion Equation
Nonclassical diffusion equation Global attractor
2007/12/11
For a nonclassical diffusion equation, the asymptotic behavior is investigated, and the existence of a global attractor is proved.
Modified High-order Upwing Method for Convection Diffusion Equation
convection diffusion high-order upwind method
2007/12/10
In this paper, we study the high-order upwind finite difference method for steady convection-diffusion problems. Based on the conservative convection-diffusion equation, a high-order upwind finite dif...