English  |  正體中文  |  简体中文  |  Items with full text/Total items : 60696/93562 (65%)
Visitors : 1047616      Online Users : 37
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/74676

    Title: Burgers方程式相似解之探討及其應用
    Other Titles: A study of similarity solution of Burgers equation with its applications
    Authors: 林俊仲;Lin, Pierce
    Contributors: 淡江大學航空太空工程學系碩士班
    馮朝剛;Feng, Chao-Kang
    Keywords: Burgers方程式;Hopf-Cole變換;相似法;Burgers equation;Hopf-Cole transformation;Similarity method
    Date: 2011
    Issue Date: 2011-12-28 19:17:11 (UTC+8)
    Abstract: 具對流與擴散項之非線性Burgers方程式,已有熟知之Hopf-Cole變換解法,而本文採用相似法直接在物理面上探討Burgers方程式,並有系統地以伸縮群及行波相似轉換求得其相似精確解並加以應用在流體力學及氣動力學問題中。本文另以適當的起始條件求出Hopf-Cole變換積分解,並與本文相似解加以連結,使吾人對Burgers方程式之數學結構與物理意義有更進一步之認識和了解。
    The prototype equation for nonlinear convection-diffusion processes is Burgers’ equation. An analytical solution of Burgers’ equation was discovered independently by Hopf and Cole. In this paper, a similarity study of Burgers’ equation is exhibited. A systematic approach for obtaining the stretching group and traveling wave similarity solutions are constructed and applied to fluid mechanics, gas-dynamic or stock market dynamics problems. Some exact solutions are also obtained from integral solution of Hopf-Cole transformation, which are related to the stretching group and traveling wave similarity solutions.
    Using the general integral solution of Burgers equation is beneficial to efficiently verifying the relevant engineering model in numerical analysis of nonlinear physics. The derived results reveal that one can straightforward find the meaningful solution through similarity transformation of Burgers equation to estimate the key physical variables and obtain more important implications.
    Appears in Collections:[Graduate Institute & Department of Aerospace Engineering] Thesis

    Files in This Item:

    File SizeFormat

    All items in 機構典藏 are protected by copyright, with all rights reserved.

    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library & TKU Library IR teams. Copyright ©   - Feedback