The Riccati Differential Equation and a Diffusion-Type Equation

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dc.creatorSuazo, Erwin
dc.creatorSuslov, Sergei K.
dc.creatorVega-Guzman, Jose M.
dc.date2008-07-28
dc.date2008-08-08
dc.date.accessioned2026-07-07T09:55:18Z
dc.date.available2026-07-07T09:55:18Z
dc.descriptionWe construct an explicit solution of the Cauchy initial value problem for certain diffusion-type equations with variable coefficients on the entire real line. The corresponding Green function (heat kernel) is given in terms of elementary functions and certain integrals involving a characteristic function, which should be found as an analytic or numerical solution of the second order linear differential equation with time-dependent coefficients. Some special and limiting cases are outlined. Solution of the corresponding non-homogeneous equation is also found.
dc.description12 pages, no figures
dc.identifierhttps://arxiv.org/abs/0807.4349
dc.identifierhttp://arxiv.org/abs/0807.4349
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166582
dc.subjectMathematical Physics
dc.titleThe Riccati Differential Equation and a Diffusion-Type Equation
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