Sturm liouville formulation software

Matrix methods for computing eigenvalues of sturmliouville. A general pseudospectral formulation of a class of sturm liouville systems al. The solution will always be locally squareintegrable, and the condition is a restriction on the largeasymptotic behaviour of this function. First eigenvalue of sturmliouville operator on the whole line. Onedimensional heat and mass diffusion modelling software. You will be notified whenever a record that you have chosen has been cited. Automatic solution of sturmliouville problems using the. An eigenvalue problem for a sturmliouville differential operator containing a parameter function and. For each group of models, some engineering problems are mentioned and illustrative examples included. Sleign2 software package as well as numerous related papers can be. Mathematical software for sturmliouville problems yongliang wang. Therefore, by using formula 4, we obtain that the solution is.

Such an equation is said to be in sturmliouville form. Mathematical software for sturmliouville problems acm digital. The boundary value methods are a linear multistep formula lmf coupled. Sturmliouville problem, solution algorithms, coefficient.

The software is developed for solving four classes of onedimensional models on ibmpcxtat and compatible microcomputers. In mathematics and its applications, classical sturmliouville theory, named after jacques. The code is called sleuth sturmliouville eigenvalues using theta matrices. Computing eigenvalues of sturmliouville systems of bessel type. Mathematical formulations of steadystate, periodic, sturmliouville and transient models are given. Pdf a test package for sturmliouville solvers researchgate. Inverse sturmliouville problems using multiple spectra iowa state. Sturmliouville theory american mathematical society.

To specify a sturmliouville problem, to this differential equation 2. A sturm liouville sl boundary value problem consists of a second order. Chapter 5 sturmliouville theory texas tech university. Pruess, mathematical software for sturmliouville problems, nsf final report. A sturmliouville equation is a second order linear di.

Variational techniques for sturmliouville eigenvalue problems valerie cormani department of mathematics and statistics university of nebraska, lincoln lincoln, ne 68588 email. This alert has been successfully added and will be sent to. Automatic solution of the sturmliouville problem acm. A catalogue of sturmliouville differential equations springerlink. The latter is the only effective general purpose software available for. The eigenvalues of the sturm liouville operator may be characterized as those for which the differential equation has a nontrivial solution satisfying both the boundary condition and the condition. Eastham, a connection formula for sturmliouville spectral functions, proc. Roughly speaking, the sturm separation theorem states that linearly independent solu tions have the same number of zeros. The formulation of the limitcircle boundary conditions follows that given in another paper by.

Variational techniques for sturmliouville eigenvalue problems. Deift, applications of a commutation formula, duke math. In 1997, greenberg and marletta 1 released a software package dealing with. How to solve a sturmliouville problem with mathematica.