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

김도형|김필수|PIAOXIANGFAN|김상동
경북대학교 자연과학대학 수학과|2012.09|Kyungpook Mathematical Journal|제52권 제3호|pp. 327-346

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참고문헌

키워드

Error corrected Euler methodPseudo-Spectral method
주제분류수학

초록

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.

Abstract

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.

참고문헌 (33)

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