Chein-Shan Liu1
CMES-Computer Modeling in Engineering & Sciences, Vol.26, No.3, pp. 157-168, 2008, DOI:10.3970/cmes.2008.026.157
Abstract For the Sturm-Liouville eigenvalues problem we construct a very effective Lie-group shooting method (LGSM) to search the eigenvalues, and when eigenvalue is determined we can also search a missing left-boundary condition of the slope through a weighting factor r ∈ (0,1). Hence, the eigenvalues and eigenfunctions can be calculated with a better accuracy. Because a closed-form formula is derived to calculate unknown slope in terms of λ for the estimation of eigenvalues, the present method is easy to implement and has a low computational cost. Similarly by applying the LGSM to find a corresponding eigenfunction in terms of λ is… More >
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