An Explicit Third-Order Numerical Method For Size-Structured Population Equations
نویسنده
چکیده
A numerical method incorporating a combination of a difference scheme and several uniform and nonuniform quadrature rules is presented. The method is designed to solve size-structured population equations with linear growth rate and nonlinear fertility and mortality rates. A detailed analysis of the global discretization error is carried out. An example whose exact solutions are known have been solved numerically using a computer implementation of the proposed method. The computations show that the global error is of third order as predicted by the theory.
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