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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

Author

Listed:
  • Alexander Yeliseev

    (National Research University Moscow Power Engineering Institute, 111250 Moscow, Russia
    These authors contributed equally to this work.)

  • Tatiana Ratnikova

    (National Research University Moscow Power Engineering Institute, 111250 Moscow, Russia
    These authors contributed equally to this work.
    The results of the work are obtained in the framework of the state contract of the Ministry of Education and Science of the Russian Federation (project no. FSWF-2020-0022).)

  • Daria Shaposhnikova

    (National Research University Moscow Power Engineering Institute, 111250 Moscow, Russia
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Alexander Yeliseev & Tatiana Ratnikova & Daria Shaposhnikova, 2021. "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," Mathematics, MDPI, vol. 9(4), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:4:p:405-:d:501862
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