Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Conservative Upwind Correction Method for Scalar Linear Hyperbolic Equations

  • Kim, Sang Dong (Gyeongbuk Provincial College, Department of Mathematics, University of Wisconsin-Whitewater) ;
  • Lee, Yong Hun (Department of Mathematics and Institute of Pure and Applied Mathematics, Jeonbuk National University) ;
  • Shin, Byeong Chun (Department of Mathematics, Chonnam National University)
  • Received : 2018.04.19
  • Accepted : 2021.06.01
  • Published : 2021.06.30
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Abstract

A conservative scheme for solving scalar hyperbolic equations is presented using a quadrature rule and an ODE solver. This numerical scheme consists of an upwind part, plus a correction part which is derived by introducing a new variable for the given hyperbolic equation. Furthermore, the stability and accuracy of the derived algorithm is shown with numerous computations.

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References

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