论文信息 - A numerical method for a model of population dynamics with spatial diffusion

A numerical method for a model of population dynamics with spatial diffusion

Abstract We propose a procedure to approximate the solution of a degenerate parabolic equation describing the dynamics of a one-sex population with spatial diffusion. We use a finite difference method along the characteristic age-time direction combined with finite elements in the spatial variables. Error estimates are derived for this approximation.

Fabio Milner | F. Milner

[1] R. Courant,et al. On the solution of nonlinear hyperbolic differential equations by finite differences , 1952 .

[2] Fabio Milner. A finite element method for a two-sex model of population dynamics , 1988 .

[3] R. Nochetto,et al. An efficient linear scheme to approximate parabolic free boundary problems: error estimates and implementation , 1988 .

[4] Donato Trigiante,et al. A finite difference scheme for a stiff problem arising in the numerical solution of a population dynamic model with spatial diffusion , 1985 .

[5] Fabio Milner,et al. Mixed finite element methods for quasilinear second-order elliptic problems , 1985 .

[6] Morton E. Gurtin,et al. Diffusion models for age-structured populations , 1981 .

[7] Morton E. Gurtin,et al. A note on interacting populations that disperse to avoid crowding , 1984 .

[8] P. Raviart,et al. A mixed finite element method for 2-nd order elliptic problems , 1977 .

[9] Jim Douglas,et al. Numerical methods for a model of population dynamics , 1987 .

[10] Mimmo Iannelli,et al. A class of nonlinear diffusion problems in age-dependent population dynamics☆ , 1983 .

[11] Todd Arbogast,et al. A finite difference method for a two-sex model of population dynamics , 1989 .

[12] Michel Langlais,et al. A Nonlinear Problem in Age-Dependent Population Diffusion , 1985 .

[13] M. Gurtin. Some questions and open problems in continuum mechanics and population dynamics , 1983 .