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A singular perturbation problem for periodic boundary partial differential equation

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Abstract

In this paper, we consider a singular perturbation elliptic-parabolic partial differential equation for periodic boundary value problem, and construct a difference scheme. Using the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, we prove that the scheme constructed by this paper converges uniformly to the solution of its original problem with O(⋆+h2).

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References

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Authors and Affiliations

  1. Fuzhou University, Fuzhou

    Lin Peng-cheng & Jiang Ben-xian

Authors
  1. Lin Peng-cheng
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  2. Jiang Ben-xian
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Additional information

Communicated by Lin Zong-chi

Dedecated to the Tenth Anniversary and One Hundred Numbers of AMM (III)

This work is supported by the National and Fujian Province Nature Science Research Funds

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Peng-cheng, L., Ben-xian, J. A singular perturbation problem for periodic boundary partial differential equation. Appl Math Mech 12, 281–290 (1991). https://doi.org/10.1007/BF02098058

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  • DOI: https://doi.org/10.1007/BF02098058

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