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Numerical Solution for Nonlinear Fractional Reaction-Diffusion System

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Authors
김정은
Advisor
정상권
Major
사범대학 수학교육과
Issue Date
2016-02
Publisher
서울대학교 대학원
Keywords
Nonlinear fractional reaction-diffusion systemGlobal existenceShifted Grünwald formula. Implicit finite difference methodPrey-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
URI
http://hdl.handle.net/10371/127620
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College of Education (사범대학)Dept. of Mathematics Education (수학교육과)Theses (Master's Degree_수학교육과)
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