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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id-itb.:421022019-09-13T14:17:52ZINVERSE PROBLEM FOR WAVE EQUATION WITH DIRICHLET BOUNDARY CONDITION Ahmad, Sofwah Indonesia Theses inverse problem, monochromatic, wave equation, regularization, regularization algorithm, integral equation. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/42102 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. text |
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Indonesia Indonesia |
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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. |
| format |
Theses |
| author |
Ahmad, Sofwah |
| spellingShingle |
Ahmad, Sofwah INVERSE PROBLEM FOR WAVE EQUATION WITH DIRICHLET BOUNDARY CONDITION |
| author_facet |
Ahmad, Sofwah |
| author_sort |
Ahmad, Sofwah |
| title |
INVERSE PROBLEM FOR WAVE EQUATION WITH DIRICHLET BOUNDARY CONDITION |
| title_short |
INVERSE PROBLEM FOR WAVE EQUATION WITH DIRICHLET BOUNDARY CONDITION |
| title_full |
INVERSE PROBLEM FOR WAVE EQUATION WITH DIRICHLET BOUNDARY CONDITION |
| title_fullStr |
INVERSE PROBLEM FOR WAVE EQUATION WITH DIRICHLET BOUNDARY CONDITION |
| title_full_unstemmed |
INVERSE PROBLEM FOR WAVE EQUATION WITH DIRICHLET BOUNDARY CONDITION |
| title_sort |
inverse problem for wave equation with dirichlet boundary condition |
| url |
https://digilib.itb.ac.id/gdl/view/42102 |
| _version_ |
1822926173490905088 |