Numerical investigation of periodic solution paths of reaction-diffusion models
碩士 === 國立新竹教育大學 === 人資處數學教育碩士班 === 95 === The purpose of this paper is to investigate the period solution path of a Reaction-Diffusion Models. This paper will provide the method to calculate whole solution paths and continue the period solution path of partial differential equations which variate a...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2006
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| Online Access: | http://ndltd.ncl.edu.tw/handle/81519009804152823195 |
| Summary: | 碩士 === 國立新竹教育大學 === 人資處數學教育碩士班 === 95 === The purpose of this paper is to investigate the period solution path of a Reaction-Diffusion Models. This paper will provide the method to calculate whole solution paths and continue the period solution path of partial differential equations which variate a parameter.We call this the pseudo- arclength continuation method. It is applied to the nonlinear elliptic equation of Reaction-Diffusion Models. The main tools of the pseudo-arclength continuation method are shooting method, Newton’s method, Crank-Nicolson’s method, predictor-solver and implicit function theorem. These solutions will be used to confer the period solution paths.
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