Multiparameter families of difference approximations for the first initial boundary value problem for the heat equation in an arbitrary region

@article{Giese1978MultiparameterFO,
  title={Multiparameter families of difference approximations for the first initial boundary value problem for the heat equation in an arbitrary region},
  author={J. H. Giese and H. Khalil and D. L. Ulery},
  journal={Journal of Engineering Mathematics},
  year={1978},
  volume={12},
  pages={97-114}
}
SummaryA symbolic technique is developed to automatically generate consistent multiparameter families of difference approximations to the heat equation with Dirichlet boundary conditions in arbitrary regions. A stencil of non-uniform step size, conformable along the spatial axes via spatial displacement parameters, is devised to handle the problem of irregular boundaries. Using this stencil as a basic building block, multiparameter families of difference schemes applicable without modification… Expand
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