Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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THE COMPUTATION OF POSITIVE SOLUTIONS FOR A BOUNDARY VALUE PROBLEM OF THE LINEAR BEAM EQUATION

  • Ji, Jun (Department of Mathematics Kennesaw State University) ;
  • Yang, Bo (Department of Mathematics Kennesaw State University)
  • Received : 2015.12.23
  • Published : 2017.01.31
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Abstract

In this paper, we propose a method of order two for the computation of positive solutions to a boundary value problem of the linear beam equation. The method is based on the Power method for the eigenvector associated with the dominant eigenvalue and the Crout-like factorization algorithm for the banded system of linear equations. It is extremely fast due to the linear complexity of the linear system solver. Numerical result of a test problem is included.

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References

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