Electronic Journal of Boundary Elements. Volume 12, Number 1 (Archival Information Package)

The determination of an unknown spacewice dependent force function acting on a vibrating string from over-specied Cauchy boundary data is investigated numerically using the boundary element method (BEM) combined with a regularized method of separating variables. This linear inverse problem is ill-posed since small errors in the input data cause large errors in the output force solution. Consequently, when the input data is contaminated with noise we use the Tikhonov regularization method in order to obtain a stable solution. The choice of the regularization parameter is based on the L-curve method. Numerical results show that the solution is accurate for exact data and stable for noisy data. This resource is archived and is not available for public use. The publicly accessible version is available at http://ejbe.libraries.rutgers.edu/index.php/ejbe/issue/view/269Binary format, Base 64 in XML wrapper, native OJS import format -- README file -- [Editor introduction] -- Determination of a space-dependent force function in the one-dimensional wave equation / Hussein, S.O., Lesnic, D