INVERSE PROBLEM FOR WAVE EQUATION WITH DIRICHLET BOUNDARY CONDITION
This thesis discusses monochromatic inverse problem on reconstructing potential function q(x) from single frequency(or spectral data), of the wave equation with Dirichlet boundary conditions. The reconstruction approach used in this thesis is by applying the method of separation of variables and...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/42102 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | This thesis discusses monochromatic inverse problem on reconstructing potential
function q(x) from single frequency(or spectral data), of the wave equation
with Dirichlet boundary conditions. The reconstruction approach used in this
thesis is by applying the method of separation of variables and transforming
the obtained eigenvalue problem into integral equation using the method of
variation of parameters. The relationship between potential function q(x) and
the spectral data(RUMUS) are obtained from the generated integral equation.
The reconstruction is done numerically, applying the regularization algorithm
to the linear system on Rn. The background theory of inverse problem is also
given. |
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