Abstract
In this work one-dimensional singular perturbation problems with turning points are considered. To resolve these problems numerically we consider a family of finite difference schemes, which includes classical methods in literature, such as the upwind method, the Samarskii method and exponential fitting type methods. Once the uniform convergence of the upwind method on irregular meshes has been established, the same property is easily shown on all the elements of the family.
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Communicated by M. Gasca
Work supported by a grant of the Diputación General de Aragón.
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Clavero, C., Lisbona, F. Uniformly convergent finite difference methods for singularly perturbed problems with turning points. Numer Algor 4, 339–359 (1993). https://doi.org/10.1007/BF02145752
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DOI: https://doi.org/10.1007/BF02145752