Inverse eigenvalue problem

dc.contributor.authorBoamah, Edward Kwasi
dc.date.accessioned2016-08-16T09:31:26Z
dc.date.available2016-08-16T09:31:26Z
dc.date.issued2016-08-16
dc.descriptionA 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.abstractThis 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.urihttp://hdl.handle.net/10539/20865
dc.language.isoenen_ZA
dc.subject.lcshMatrices.
dc.subject.lcshEigenvalues
dc.titleInverse eigenvalue problemen_ZA
dc.typeThesisen_ZA
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