Regularized Asymptotics of the Solution of the Singularly Perturbed First Boundary Value Problem on the Semiaxis for a Parabolic Equation with a Rational “Simple” Turning Point

Alexander Yeliseev, Tatiana Ratnikova and Daria Shaposhnikova
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Alexander Yeliseev: National Research University Moscow Power Engineering Institute, 111250 Moscow, Russia
Tatiana Ratnikova: National Research University Moscow Power Engineering Institute, 111250 Moscow, Russia
Daria Shaposhnikova: National Research University Moscow Power Engineering Institute, 111250 Moscow, Russia

Mathematics, 2021, vol. 9, issue 4, 1-14

Abstract: The aim of this study is to develop a regularization method for boundary value problems for a parabolic equation. A singularly perturbed boundary value problem on the semiaxis is considered in the case of a “simple” rational turning point. To prove the asymptotic convergence of the series, the maximum principle is used.

Keywords: singularly perturbed first boundary value problem for a parabolic equation; asymptotic solution; regularization method; rational “simple” turning point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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