Singularly perturbed telegraph equations with applications in the random walk theory
Jacek BanasiakUniversity of Natal, Dept. of Mathematics and Applied Mathematics, Private Bag XI0, Dalbridge 4014, Durban, South AfricaJanusz MikaInstitute of Atomic Energy, Świerk, Otwock 05-400, Poland
1997en
ABI
Abstract
In the paper we analyze singularly perturbed telegraph systems applying the newly developed compressed asymptotic method and show that the diffusion equation is an asymptotic limit of singularly perturbed telegraph system of equations. The results are applied to the random walk theory for which the relationship between correlated and uncorrelated random walks is explained in asymptotic terms.
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Cited by 20 references