Galerkin Methods in Age and Space for a Population Model with Nonlinear Diffusion

  title={Galerkin Methods in Age and Space for a Population Model with Nonlinear Diffusion},
  author={Bruce P. Ayati and Todd F. Dupont},
  journal={SIAM J. Numerical Analysis},
We present Galerkin methods in both the age and space variables for an agedependent population undergoing nonlinear diffusion. The methods presented are a generalization of methods, where the approximation space in age is the space of piecewise constant functions. In this paper, we allow the use of discontinuous piecewise polynomial subspaces of L2 as the approximation space in age. As in the piecewise constant case, we move the discretization along characteristic lines. The time variable has… CONTINUE READING

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