Computing the eigenvalues of fourthorder Sturm-Liouville problems withLie Group method

In this paper, we formulate the fourth order Sturm-Liouville problem (FSLP) as a Lie group matrix di erential equation. By solving this ma- trix di erential equation by Lie group Magnus expansion, we compute the eigenvalues of the FSLP. The approccimation is inf fact, the turncation of Magnus expansion and a Gaussian quadrature are used to evaluate the integrals. Finally, some numerical examples are given.

کلیدواژه ها:

Lie group method ، Fourth order Sturm-Liouville problem ، Mag-nus expansion