The numerical investigation for the equilibrium solution paths of a Non-isothermal diffusion and reaction model

碩士 === 國立新竹教育大學 === 人資處數學教育碩士班 === 94 === The purpose of this paper is to numerically investigate the equilibrium solution paths of non-isothermal diffusion and reaction model. The main theories we used are Newton iterative method, Implicit Function Theorem, local continuation method, Secant Predict...

Full description

Bibliographic Details
Main Author: 連萬智
Other Authors: 簡國清
Format: Others
Language:zh-TW
Published: 2005
Online Access:http://ndltd.ncl.edu.tw/handle/22855710201699155013
Description
Summary:碩士 === 國立新竹教育大學 === 人資處數學教育碩士班 === 94 === The purpose of this paper is to numerically investigate the equilibrium solution paths of non-isothermal diffusion and reaction model. The main theories we used are Newton iterative method, Implicit Function Theorem, local continuation method, Secant Predictor and Pseudo-arclength continuation algorithm to find out the multiple solutions within limited range of parameters. Therefore we can investigate and change various parameters to gain different solutions. Finally we will determine all the turning points.