A compact Fourth-Order Implicit-Explicit Runge-Kutta Type Method for Solving Diffusive Lotka–Volterra System
نویسندگان
چکیده
Abstract This paper aims to developed a high-order and accurate method for the solution of one-dimensional Lotka-Volterra-diffusion with Numman boundary conditions. A fourth-order compact finite difference scheme spatial part combined implicit-explicit Runge Kutta in temporal are proposed. Furthermore, points discretized by using terms fourth order accuracy. key idea proposed is take full advantage line (MOL), this consequently enabling us use method, that time. We constructed accuracy both space time unconditionally stable. leading reduction computational cost scheme. Numerical experiments show combination IMEX- RK methods give an reliable solving Lotka-Volterra-diffusion.
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ژورنال
عنوان ژورنال: Journal of physics
سال: 2021
ISSN: ['0022-3700', '1747-3721', '0368-3508', '1747-3713']
DOI: https://doi.org/10.1088/1742-6596/1999/1/012103