An Unconditionally Stable Positivity-Preserving Scheme for the One-Dimensional Fisher-Kolmogorov-Petrovsky-Piskunov Equation

Sangkwon Kim, Chaeyoung Lee, Hyun Geun Lee, Hyundong Kim, Soobin Kwak, Youngjin Hwang, Seungyoon Kang, Seokjun Ham, Junseok Kim

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)

    Abstract

    In this study, we present an unconditionally stable positivity-preserving numerical method for the Fisher-Kolmogorov-Petrovsky-Piskunov (Fisher-KPP) equation in the one-dimensional space. The Fisher-KPP equation is a reaction-diffusion system that can be used to model population growth and wave propagation. The proposed method is based on the operator splitting method and an interpolation method. We perform several characteristic numerical experiments. The computational results demonstrate the unconditional stability, boundedness, and positivity-preserving properties of the proposed scheme.

    Original languageEnglish
    Article number7300471
    JournalDiscrete Dynamics in Nature and Society
    Volume2021
    DOIs
    Publication statusPublished - 2021

    Bibliographical note

    Publisher Copyright:
    © 2021 Sangkwon Kim et al.

    ASJC Scopus subject areas

    • Modelling and Simulation

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