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The Sturm-Liouville eigenvalue problem - a numerical solution using the control volume method

Siedlecki J., Ciesielski M, Błaszczyk T.

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 2

127--136

The solution of the 1D Sturm-Liouville problem using the Control Volume Method is discussed. The second order linear differential equation with homogeneous boundary conditions is discretized and converted to the system of linear algebraic equations. The matrix associated with this system is tridiagonal and eigenvalues of this system are an approximation of the real eigenvalues of the boundary value problem. The numerical results of the eigenvalues for various cases and the experimental rate of convergence are presented.