Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems

@article{Tang1996BoundaryLR,
  title={Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems},
  author={Tao Tang and Manfred R. Trummer},
  journal={SIAM J. Sci. Comput.},
  year={1996},
  volume={17},
  pages={430-438}
}
Pseudospectral methods are investigated for singularly perturbed boundary value problems for ordinary differential equations (ODEs) which possess boundary layers. It is well known that if the boundary layer is very small then a very large number of spectral collocation points is required to obtain accurate solutions. We introduce here a new effective procedure based on coordinate stretching and the Chebyshev pseudospectral method to resolve the boundary layers. Stable and accurate results are… 

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