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

Xiang Fan Piao | Zendy; Sangdong Kim | Zendy; Phil-Su Kim | Zendy; DoHyung Kim | Zendy

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

Author(s) -

Xiang Fan Piao,

Sangdong Kim,

Phil-Su Kim,

DoHyung Kim

Publication year - 2012

Publication title -

kyungpook mathematical journal

Language(s) - English

Resource type - Journals

eISSN - 1225-6951

pISSN - 0454-8124

DOI - 10.5666/kmj.2012.52.3.327

Subject(s) - mathematics , simple (philosophy) , convergence (economics) , burgers' equation , numerical analysis , time stepping , type (biology) , mathematical analysis , partial differential equation , discretization , ecology , philosophy , epistemology , economics , biology , economic growth

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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