A New Time Stepping Method for Solving One Dimensional Burgers' Equations

In this paper, we present a simple explicit type numerical method for dis-cretizations 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 computationa...

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Veröffentlicht in:Kyungpook mathematical journal 2012, 52(3), , pp.327-346
Hauptverfasser: Piao, Xiang Fan, Kim, Sang-Dong, Kim, Phil-Su, Kim, Do-Hyung
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Sprache:eng
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Zusammenfassung:In this paper, we present a simple explicit type numerical method for dis-cretizations 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. KCI Citation Count: 0
ISSN:1225-6951
0454-8124
DOI:10.5666/KMJ.2012.52.3.327