The stability and control of discrete processes
The stability and control of discrete processes
An introduction to difference equations
An introduction to difference equations
Analytic-numerical solutions of diffusion mathematical models with delays
Computers & Mathematics with Applications
Numerical Recipes 3rd Edition: The Art of Scientific Computing
Numerical Recipes 3rd Edition: The Art of Scientific Computing
Analytic solution of mixed problems for thegeneralized diffusion equation with delay
Mathematical and Computer Modelling: An International Journal
Convergence of two implicit numerical schemes for diffusion mathematical models with delay
Mathematical and Computer Modelling: An International Journal
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In this paper an explicit numerical difference scheme for mixed problems for the delay diffusion equation is proposed, as a generalization of the classic difference scheme for the diffusion problem. A sufficient condition for the asymptotic stability of the new scheme is proved. Consistence, convergence and some properties of stability for this scheme are studied. Illustrative examples of numerical results are also included.