Abstract
This paper deals with the construction of the exact series solution of mixed problems related to the generalized diffusion equation u t(t, ξ) = a 2u ξξ(t, ξ) + b 2u ξξ(t − τ, ξ), t > τ, 0 < ξ ≤ 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.
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