A class of singularly perturbed quasilinear differential equations with interior layers

نویسندگان

  • Paul A. Farrell
  • Eugene O'Riordan
  • Grigorii I. Shishkin
چکیده

A class of singularly perturbed quasilinear differential equations with discontinuous data is examined. In general, interior layers will appear in the solutions of problems from this class. A numerical method is constructed for this problem class, which involves an appropriate piecewise-uniform mesh. The method is shown to be a parameter-uniform numerical method with respect to the singular perturbation parameter. Numerical results are presented, which support the theoretical results.

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عنوان ژورنال:
  • Math. Comput.

دوره 78  شماره 

صفحات  -

تاریخ انتشار 2009