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Numerical Solution for Nonlinear Fractional Reaction-Diffusion System
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- Authors
- Advisor
- 정상권
- Major
- 사범대학 수학교육과
- Issue Date
- 2016-02
- Publisher
- 서울대학교 대학원
- Keywords
- Nonlinear fractional reaction-diffusion system ; Global existence ; Shifted Grünwald formula. Implicit finite difference method ; Prey-predator model
- Description
- 학위논문 (석사)-- 서울대학교 대학원 : 수학교육과, 2016. 2. 정상권.
- 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.
- Language
- English
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