The self-similar solutions of the Burgers equation

碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 104 === This thesis studies the Burgers equation without viscosity, and the Burgers equation with source term. First, to obtain the solution in self-similar form, the PDEs are transformed into ODE. Then, from the observation that the ODEs are homogenous, the method...

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Main Authors:	Hsueh-JenYang, 楊學人
Other Authors:	Wen-Ching Lien
Format:	Others
Language:	en_US
Published:	2016
Online Access:	http://ndltd.ncl.edu.tw/handle/47866275793683306516

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spelling	ndltd-TW-104NCKU55070032017-10-15T04:37:07Z http://ndltd.ncl.edu.tw/handle/47866275793683306516 The self-similar solutions of the Burgers equation Burgers 方程式的自我相似解 Hsueh-JenYang 楊學人碩士國立成功大學數學系應用數學碩博士班 104 This thesis studies the Burgers equation without viscosity, and the Burgers equation with source term. First, to obtain the solution in self-similar form, the PDEs are transformed into ODE. Then, from the observation that the ODEs are homogenous, the method of separation is used to solve these equations. Wen-Ching Lien 連文璟 2016 學位論文 ; thesis 18 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 104 === This thesis studies the Burgers equation without viscosity, and the Burgers equation with source term. First, to obtain the solution in self-similar form, the PDEs are transformed into ODE. Then, from the observation that the ODEs are homogenous, the method of separation is used to solve these equations.
author2	Wen-Ching Lien
author_facet	Wen-Ching Lien Hsueh-JenYang 楊學人
author	Hsueh-JenYang 楊學人
spellingShingle	Hsueh-JenYang 楊學人 The self-similar solutions of the Burgers equation
author_sort	Hsueh-JenYang
title	The self-similar solutions of the Burgers equation
title_short	The self-similar solutions of the Burgers equation
title_full	The self-similar solutions of the Burgers equation
title_fullStr	The self-similar solutions of the Burgers equation
title_full_unstemmed	The self-similar solutions of the Burgers equation
title_sort	self-similar solutions of the burgers equation
publishDate	2016
url	http://ndltd.ncl.edu.tw/handle/47866275793683306516
work_keys_str_mv	AT hsuehjenyang theselfsimilarsolutionsoftheburgersequation AT yángxuérén theselfsimilarsolutionsoftheburgersequation AT hsuehjenyang burgersfāngchéngshìdezìwǒxiāngshìjiě AT yángxuérén burgersfāngchéngshìdezìwǒxiāngshìjiě AT hsuehjenyang selfsimilarsolutionsoftheburgersequation AT yángxuérén selfsimilarsolutionsoftheburgersequation
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The self-similar solutions of the Burgers equation

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