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Numerical Solution for Nonlinear Fractional Reaction-Diffusion System
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 정상권 | - |
dc.contributor.author | 김정은 | - |
dc.date.accessioned | 2017-07-19T02:33:29Z | - |
dc.date.available | 2017-07-19T02:33:29Z | - |
dc.date.issued | 2016-02 | - |
dc.identifier.other | 000000133843 | - |
dc.identifier.uri | https://hdl.handle.net/10371/127620 | - |
dc.description | 학위논문 (석사)-- 서울대학교 대학원 : 수학교육과, 2016. 2. 정상권. | - |
dc.description.abstract | Reaction-diffusion equations are required to understand various phenomena in science including biology, ecology and physics, etc. In this paper we study numerical solutions of nonlinear reaction-diffusion systems modeling prey-predator interactions within the framework of fractional differential equations. We demonstrate the existence and convergence of approximate solutions of the system for a finite difference scheme. Computational results are given to support theoretical analysis. | - |
dc.description.tableofcontents | Chapter 1. Introduction 1
Chapter 2. Global Existence of Analytic Solution 4 Chapter 3. Numerical method 14 Chapter 4. Numerical results 24 Chapter 5. Concluding Remarks 32 Bibliography 33 Abstract (in Korean) 35 | - |
dc.format | application/pdf | - |
dc.format.extent | 2150317 bytes | - |
dc.format.medium | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | 서울대학교 대학원 | - |
dc.subject | Nonlinear fractional reaction-diffusion system | - |
dc.subject | Global existence | - |
dc.subject | Shifted Grünwald formula. Implicit finite difference method | - |
dc.subject | Prey-predator model | - |
dc.subject.ddc | 510 | - |
dc.title | Numerical Solution for Nonlinear Fractional Reaction-Diffusion System | - |
dc.type | Thesis | - |
dc.description.degree | Master | - |
dc.citation.pages | 42 | - |
dc.contributor.affiliation | 사범대학 수학교육과 | - |
dc.date.awarded | 2016-02 | - |
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