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An implicit finite difference scheme for the nonlinear size-structured population model. (English) Zbl 0897.35006

The authors develop an implicit finite difference scheme to approximate the solution of the “fully nonlinear” size structured population model. The convergence of this approximation to a unique bounded variational solution of this nonlinear partial differential equation is obtained. Numerical results to an example problem are reported.

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
65N99 Numerical methods for partial differential equations, boundary value problems
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
92D25 Population dynamics (general)
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