East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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NON-OVERLAPPING RECTANGULAR DOMAIN DECOMPOSITION METHOD FOR TWO-DIMENSIONAL TELEGRAPH EQUATIONS

  • Younbae, Jun (Department of Mathematics and Big Data Science, Kumoh National Institute of Technology)
  • Received : 2022.12.30
  • Accepted : 2023.01.27
  • Published : 2023.01.31
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Abstract

In this paper, a non-overlapping rectangular domain decomposition method is presented in order to numerically solve two-dimensional telegraph equations. The method is unconditionally stable and efficient. Spectral radius of the iteration matrix and convergence rate of the method are provided theoretically and confirmed numerically by MATLAB. Numerical experiments of examples are compared with several methods.

Keywords

Acknowledgement

This research was supported by Kumoh National Institute of Technology(2020-0197-0001).

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