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Commun. Korean Math. Soc. 2017; 32(1): 215-224
Online first article January 11, 2017 Printed January 31, 2017
https://doi.org/10.4134/CKMS.c150245
Copyright © The Korean Mathematical Society.
The computation of positive solutions for a boundary value problem of the linear beam equation
Jun Ji and Bo Yang
Kennesaw State University, Kennesaw State University
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.
Keywords: boundary value problem, Crout-like factorization algorithm, linear beam equation, positive eigenvector
MSC numbers: 39A10, 65F05, 65F15
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