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The fourth order non oscillatory entropy stable scheme for degenerate convection diffusion equation part I

    Author

    • Jisha CR

    Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur-603203,Tamil Nadu, India

,

Document Type : Research Article

10.47392/irjash.2021.110
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Abstract

In this article, we formulate an entropy stable scheme for nonlinear degenerate convection diffusion equation with viscous terms in non-conservative formulations. Here in we extend the S.Jerez idea of first order entropy stable convection scheme for semi discrete scheme in to fourth order scheme using finite central difference scheme. Major advantage of this work is fourth order accuracy of the solution and fixed numerical diffusion term which can provide the non- oscillatory solution. Finally, few computational analyses are given to shown the accuracy of entropy stable scheme for degenerate parabolic equations

Keywords

  • Entropy stable scheme
  • Hyperbolic conservation law
  • Convection diffusion equation
  • Central difference operator
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International Research Journal on Advanced Science Hub
Volume 03, Special Issue ICIES-2021 4S - Issue Serial Number 4
April 2021
Page 50-57
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  • PDF 603.25 K
History
  • Receive Date: 30 January 2021
  • Revise Date: 25 February 2021
  • Accept Date: 23 March 2021
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  • Article View: 441
  • PDF Download: 318

APA

CR, J. (2021). The fourth order non oscillatory entropy stable scheme for degenerate convection diffusion equation part I. International Research Journal on Advanced Science Hub, 03(Special Issue ICIES-2021 4S), 50-57. doi: 10.47392/irjash.2021.110

MLA

CR, J. . "The fourth order non oscillatory entropy stable scheme for degenerate convection diffusion equation part I", International Research Journal on Advanced Science Hub, 03, Special Issue ICIES-2021 4S, 2021, 50-57. doi: 10.47392/irjash.2021.110

HARVARD

CR, J. (2021). 'The fourth order non oscillatory entropy stable scheme for degenerate convection diffusion equation part I', International Research Journal on Advanced Science Hub, 03(Special Issue ICIES-2021 4S), pp. 50-57. doi: 10.47392/irjash.2021.110

CHICAGO

J. CR, "The fourth order non oscillatory entropy stable scheme for degenerate convection diffusion equation part I," International Research Journal on Advanced Science Hub, 03 Special Issue ICIES-2021 4S (2021): 50-57, doi: 10.47392/irjash.2021.110

VANCOUVER

CR, J. The fourth order non oscillatory entropy stable scheme for degenerate convection diffusion equation part I. International Research Journal on Advanced Science Hub, 2021; 03(Special Issue ICIES-2021 4S): 50-57. doi: 10.47392/irjash.2021.110

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