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Numerical Solution for Nonlinear Fractional Reaction-Diffusion System

DC Field Value Language
dc.contributor.advisor정상권-
dc.contributor.author김정은-
dc.date.accessioned2017-07-19T02:33:29Z-
dc.date.available2017-07-19T02:33:29Z-
dc.date.issued2016-02-
dc.identifier.other000000133843-
dc.identifier.urihttps://hdl.handle.net/10371/127620-
dc.description학위논문 (석사)-- 서울대학교 대학원 : 수학교육과, 2016. 2. 정상권.-
dc.description.abstractReaction-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.tableofcontentsChapter 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
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dc.formatapplication/pdf-
dc.format.extent2150317 bytes-
dc.format.mediumapplication/pdf-
dc.language.isoen-
dc.publisher서울대학교 대학원-
dc.subjectNonlinear fractional reaction-diffusion system-
dc.subjectGlobal existence-
dc.subjectShifted Grünwald formula. Implicit finite difference method-
dc.subjectPrey-predator model-
dc.subject.ddc510-
dc.titleNumerical Solution for Nonlinear Fractional Reaction-Diffusion System-
dc.typeThesis-
dc.description.degreeMaster-
dc.citation.pages42-
dc.contributor.affiliation사범대학 수학교육과-
dc.date.awarded2016-02-
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