A new time stepping method for solving one dimensional burgers' equations

Xiang Fan Piao; Sang Dong Kim; Philsu Kim; Do Hyung Kim

doi:10.5666/kmj.2012.52.3.327

A new time stepping method for solving one dimensional burgers' equations

Xiang Fan Piao, Sang Dong Kim, Philsu Kim, Do Hyung Kim

Kyungpook National University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	327-346
Number of pages	20
Journal	Kyungpook Mathematical Journal
Volume	52
Issue number	3
DOIs	https://doi.org/10.5666/kmj.2012.52.3.327
State	Published - Sep 2012

Keywords

Error corrected Euler method
Pseudo-Spectral method

Access to Document

10.5666/kmj.2012.52.3.327

Cite this

@article{4035058a6f15442cbde36b873279aedd,

title = "A new time stepping method for solving one dimensional burgers' equations",

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.",

keywords = "Error corrected Euler method, Pseudo-Spectral method",

author = "Piao, {Xiang Fan} and Kim, {Sang Dong} and Philsu Kim and Kim, {Do Hyung}",

year = "2012",

month = sep,

doi = "10.5666/kmj.2012.52.3.327",

language = "English",

volume = "52",

pages = "327--346",

journal = "Kyungpook Mathematical Journal",

issn = "1225-6951",

publisher = "Kyungmoon Publishing",

number = "3",

}

TY - JOUR

T1 - A new time stepping method for solving one dimensional burgers' equations

AU - Piao, Xiang Fan

AU - Kim, Sang Dong

AU - Kim, Philsu

AU - Kim, Do Hyung

PY - 2012/9

Y1 - 2012/9

N2 - 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.

AB - 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.

KW - Error corrected Euler method

KW - Pseudo-Spectral method

UR - http://www.scopus.com/inward/record.url?scp=84870418010&partnerID=8YFLogxK

U2 - 10.5666/kmj.2012.52.3.327

DO - 10.5666/kmj.2012.52.3.327

M3 - Article

AN - SCOPUS:84870418010

SN - 1225-6951

VL - 52

SP - 327

EP - 346

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

IS - 3

ER -

A new time stepping method for solving one dimensional burgers' equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this