Cubic spline formulation for matrix method for second order ordinary differential eigenvalues
Journal Article
·
· J. Comput. Phys.; (United States)
OSTI ID:7361059
A cubic spline formulation for the matrix method in solving for secondary-order ordinary differential eigenvalues is described. The matrix method formulates the matrices in terms of finite difference approximations. Rows of the matrices corresponding to boundary points relate to boundary conditions only and not to the differential equation. The cubic spline formulation constructs the ''boundary point'' rows in such a way that both boundary condition and differential equation are satisfied. For each eigenvalue so approximated, a corresponding eigenfunction is computed. An integral ratio (modified Rayleigh quotient) process is applied to this function to improve the eigenvalue approximation. Numerical examples are given to illustrate the method and compare it with the finite difference formulation. (auth)
- Research Organization:
- Univ. of Seattle
- OSTI ID:
- 7361059
- Journal Information:
- J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 5:169; ISSN JCTPA
- Country of Publication:
- United States
- Language:
- English
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