## Analytic solution of mixed problems for the generalized diffusion equation with delay.(English)Zbl 1062.35157

Summary: This paper deals with the construction of the exact series solution of mixed problems related to the generalized diffusion equation $u_t(t,x)=a^2 u_{xx}(t,x)+b^2u_{xx}(t-\tau,x),\;t>\tau,\;0\leq x\leq l.$ A separation of variables method is used to develop an exact theoretical series solution, which can be truncated to obtain a continuous numerical solution with prescribed accuracy in bounded domains.

### MSC:

 35R10 Partial functional-differential equations 35C10 Series solutions to PDEs 76R50 Diffusion

### Keywords:

delay diffusion equation
Full Text:

### References:

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