The paper deals with the boundary value problem for a nonlinear integro-differential equation modeling the dynamic state of the Timoshenko beam. To approximate the solution with respect to a spatial variable, the Galerkin method is used, the error of which is estimated.
β¦ LIBER β¦
Galerkin methods for a model of population dynamics with nonlinear diffusion
β Scribed by Mi-Young Kim
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 637 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0749-159X
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β¦ Synopsis
A numerical method is proposed to approximate the solution of a nonlinear and nonlocal system of integro-differential equations describing age-dependent population dynamics with spatial diffusion. We use a finite difference method along the characteristic age-time direction combined with finite elements in the spatial variable. Optimal order error estimates are derived for this approximation.
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