| Abstract: |
| The generalized diffusion equation with a delay has inherent complex nature because its analytical solutions are difficult to obtain. Therefore, one has to seek numerical methods,
especially the high-order accurate ones, for their approximate solutions. In this talk, we have established the results of the numerical asymptotic stability and convergence of the compact $\theta$-method for the generalized delay diffusion equation. In the end, a series of numerical tests on stability and convergence are carried out to support our theoretical results. |
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