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제출번호(No.) 0131
분류(Section) Contributed Talk
분과(Session) (AM) Applied Mathematics(including AI, Data Science) (AM)
발표시간(Time) 19th-A-10:20 -- 10:40
영문제목
(Title(Eng.))
Splitting-based hybrid method for reaction-diffusion systems
저자(Author(s))
Sungha Yoon1, Junseok Kim2
Institute of Mathematical Sciences at Ewha Womans University1, Korea University2
초록본문(Abstract) We present a splitting-based hybrid method for reaction-diffusion systems, particularly focusing on the second-order parabolic systems. Once we adopt a pre-computing process and use interpolating functions, the boundedness of nonlinear terms is assured at every step of time integration. We discuss the stability and convergence analysis, and present the numerical simulations to verify the agreements between the theoretical and numerical results. Moreover, we confirm that the obtained patterns are qualitatively consistent with those depicted in the previous studies.
분류기호
(MSC number(s))
65M06
키워드(Keyword(s)) Pre-computing process, operator splitting method, reaction-diffusion systems
강연 형태
(Language of Session (Talk))
Korean