Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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AN EXPONENTIALLY FITTED METHOD FOR TWO PARAMETER SINGULARLY PERTURBED PARABOLIC BOUNDARY VALUE PROBLEMS

  • Received : 2022.02.01
  • Accepted : 2022.06.28
  • Published : 2023.01.31
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Abstract

This article devises an exponentially fitted method for the numerical solution of two parameter singularly perturbed parabolic boundary value problems. The proposed scheme is able to resolve the two lateral boundary layers of the solution. Error estimates show that the constructed scheme is parameter-uniformly convergent with a quadratic numerical rate of convergence. Some numerical test examples are taken from recently published articles to confirm the theoretical results and demonstrate a good performance of the current scheme.

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References

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