Stability and errors estimates of a second-order IMSP scheme
نویسندگان
چکیده
We analyze a second-order accurate implicit-symplectic (IMSP) scheme for reaction-diffusion systems modeling spatiotemporal dynamics of predator-prey populations. We prove stability and errors estimates the semi-discrete-in-time approximations, under positivity assumptions. The numerical simulations confirm theoretically derived rates convergence show an improved accuracy in IMSP comparison with first-order IMSP, at same computational cost.
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems - Series S
سال: 2022
ISSN: ['1937-1632', '1937-1179']
DOI: https://doi.org/10.3934/dcdss.2022076