East Asian mathematical journal

  • 제40권1호
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  • Pages.109-118
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  • 2024
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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NON-ITERATIVE DOMAIN DECOMPOSITION METHOD FOR THE CONVECTION-DIFFUSION EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS

  • Younbae Jun (Department of Mathematics and Big Data Science, Kumoh National Institute of Technology)
  • 투고 : 2023.12.11
  • 심사 : 2024.01.23
  • 발행 : 2024.01.31
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초록

This paper proposes a numerical method based on domain decomposition to find approximate solutions for one-dimensional convection-diffusion equations with Neumann boundary conditions. First, the equations are transformed into convection-diffusion equations with Dirichlet conditions. Second, the author introduces the Prediction/Correction Domain Decomposition (PCDD) method and estimates errors for the interface prediction scheme, interior scheme, and correction scheme using known error estimations. Finally, the author compares the PCDD algorithm with the fully explicit scheme (FES) and the fully implicit scheme (FIS) using three examples. In comparison to FES and FIS, the proposed PCDD algorithm demonstrates good results.

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과제정보

The author expresses gratitude to the referees for their valuable comments.

참고문헌

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