Coupled Derivatives Compact Schemes for One-Dimensional KdV Equation

碩士 === 國立交通大學 === 應用數學系所 === 95 === The primary objective of this thesis is to use coupled derivatives compact schemes (CD) for solving one-dimensional KDV equation. First, we review the coupled first and second derivatives scheme and then we study the coupled first and third derivatives scheme. Nex...

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Bibliographic Details
Main Authors: Ya-Ling Li, 李雅羚
Other Authors: Ming-Chih Lai
Format: Others
Language:en_US
Published: 2007
Online Access:http://ndltd.ncl.edu.tw/handle/77345509132770415612
Description
Summary:碩士 === 國立交通大學 === 應用數學系所 === 95 === The primary objective of this thesis is to use coupled derivatives compact schemes (CD) for solving one-dimensional KDV equation. First, we review the coupled first and second derivatives scheme and then we study the coupled first and third derivatives scheme. Next, we introduce roughly the Runge-Kutta methods. Finally, we give some examples and show numerical results, and the conclusion follows.