Inverse eigenvalue problem
| dc.contributor.author | Boamah, Edward Kwasi | |
| dc.date.accessioned | 2016-08-16T09:31:26Z | |
| dc.date.available | 2016-08-16T09:31:26Z | |
| dc.date.issued | 2016-08-16 | |
| dc.description | A RESEARCH REPORT submitted to the Faculty of Science of the University of the Witwatersrand in partial fulfilment of the degree of MASTER OF SCIENCE Johannesburg, Republic of South Africa December1998· | en_ZA |
| dc.description.abstract | This work is concerned with the Inverse Eigenvalue Problem for ordinary differential equations of the Sturm-Liouville type in the general form --dd ( 7' ()xdll(t\,:rI)) + {(q) x - t\p:(r )} u (A, Xl, = 0, .1' c.r (I :::: .7' S; b. The central problem considered ill this research is the approximate reC011- struction of the unknown coefficient function q(:l') in the Sturm-Liouville equation JOIl Irom a given finite spectral data set ~i(q), for i = 1 : n . A solution is sought using a finite element discretization method. The method works br solving the non-Iinear system arising out of the difference between the eigenvalues A,(q) of the Sturm-Liouville differential equation and the given spectral data ~i(q). Numerical results me presented to illustrate the effectiveness of the discretization method ill question. | |
| dc.identifier.uri | http://hdl.handle.net/10539/20865 | |
| dc.language.iso | en | en_ZA |
| dc.subject.lcsh | Matrices. | |
| dc.subject.lcsh | Eigenvalues | |
| dc.title | Inverse eigenvalue problem | en_ZA |
| dc.type | Thesis | en_ZA |
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