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Title: A mixed type modal discontinuous Galerkin approach for solving nonlinear reaction diffusion equations
Authors: Singh, Satyvir
Keywords: Science::Physics
Issue Date: 2022
Source: Singh, S. (2022). A mixed type modal discontinuous Galerkin approach for solving nonlinear reaction diffusion equations. International Conference on Advancements in Engineering and Sciences (ICAES2021), 2481, 040037-.
Abstract: In this study, a mixed-type modal discontinuous Galerkin (DG) algorithm is utilized to simulate the nonlinear reaction-diffusion (RD) equations which describe miscellaneous physical phenomena involving in chemical processes, nuclear reactions, neutron multiplication etc. The current method is based on the concept of introducing an auxiliary unknown in the high-order derivative diffusion term. The third-order scaled Legendre polynomials are adopted for DG spatial discretization, while the third-order strong stability preserving (SSP) Runge-Kutta scheme is employed for a temporal marching algorithm. To verify the accuracy and reliability of the present DG scheme, three well-known numerical problems are solved. The present DG scheme yields the stable solutions and also shows a good choice to some substituting numerical schemes for approximating the nonlinear RD equations.
ISBN: 978-0-7354-4218-4
DOI: 10.1063/5.0103736
Rights: © 2022 Author(s). Published by AIP Publishing. All rights reserved. This paper was published in AIP Conference Proceedings and is made available with permission of Author(s).
Fulltext Permission: embargo_20231115
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Conference Papers

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