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Inverse Source Problem with a Variable Source Coefficient

delete2026-01-01
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PRE
AI
H
Hussein, Shilan O.
R
Rashid, Shnyar Ali *
DOI：10.5269/bspm.81810delete
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Abstract

Abstract

En 中文
The current research investigates an inverse source problem with variable coefficients in a nonhomogeneous hyperbolic equation. This linear inverse force problem divides into a direct problem and an inverse problem. Although the solution's uniqueness is well established in the literature, the inverse problem remains ill-posed because small data changes can cause significant errors. To obtain stable numerical solutions, we use a finite difference method combined with zero-order Tikhonov regularization. We test different regularization parameter and to choose the optimal parameter based on the error norm. Numerical experiments demonstrate that our method produces accurate results with exact data and remains stable even when noise is present.
Keywords:
Inverse source problem
nonhomogeneous hyperbolic equation
norm error
zero-order Tikhonov regularization

Journal

B
Boletim Sociedade Paranaense de Matematica
IF:
0.4
Papers:
604
Citations:
0

Organization

U
University of Sulaimani
Scholars:
437
Papers: 241
Citations: 1.2K
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