An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations

نویسندگان

  • Fevzi Erdogan
  • Istvan Gyori
چکیده

This paper deals with singularly perturbed initial value problem for linear first-order delay differential equation. An exponentially fitted difference scheme is constructed in an equidistant mesh, which gives first-order uniform convergence in the discrete maximum norm. The difference scheme is shown to be uniformly convergent to the continuous solution with respect to the perturbation parameter. A numerical example is solved using the presentedmethod and compared the computed result with exact solution of the problem.

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تاریخ انتشار 2009