S-Space College of Education (사범대학) Dept. of Mathematics Education (수학교육과) Theses (Master's Degree_수학교육과)
Numerical Solution for Nonlinear Fractional Reaction-Diffusion System
- 사범대학 수학교육과
- Issue Date
- 서울대학교 대학원
- Nonlinear fractional reaction-diffusion system; Global existence; Shifted Grünwald formula. Implicit finite difference method; Prey-predator model
- 학위논문 (석사)-- 서울대학교 대학원 : 수학교육과, 2016. 2. 정상권.
- 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.