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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 ...
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...
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...
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...
For a nonclassical diffusion equation, the asymptotic behavior is investigated, and the existence of a global attractor is proved.
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...

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