Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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A New Time Stepping Method for Solving One Dimensional Burgers' Equations

  • Piao, Xiang Fan (Department of Mathematics, Kyungpook National University) ;
  • Kim, Sang-Dong (Department of Mathematics, Kyungpook National University) ;
  • Kim, Phil-Su (Department of Mathematics, Kyungpook National University) ;
  • Kim, Do-Hyung (Department of Physics, Kyungpook National University)
  • Received : 2011.04.06
  • Accepted : 2011.09.23
  • Published : 2012.09.23
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Abstract

In this paper, we present a simple explicit type numerical method for discretizations in time for solving one dimensional Burgers' equations. The proposed method does not need an iteration process that may be required in most implicit methods and have good convergence and efficiency in computational sense compared to other known numerical methods. For evidences, several numerical demonstrations are also provided.

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References

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