Increasing Stability of The Inverse Source Problem for One Dimensional Domain

  • Ajith Gunaratne Florida A & M University
  • Shahah Almutairia Northern Boarder University, Arar, Northern Boarder 73222, Saudi Arabia
Keywords: Inverse Source Problems, Scattering Theory, Helmholtz Equation

Abstract

In this paper, we are investigating the one-dimensional inverse source problem for the Helmholtz equation where the source function is compactly supported in our domain. We show that increasing stability possible using multi-frequency wave at the two endpoints. Our main result is to obtain a stability estimate consists of two parts: the data discrepancy and the high-frequency tail.

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Author Biographies

Ajith Gunaratne, Florida A & M University
Department of Mathematics, Florida A & M University Tallahassee, FL 32307, USA
Shahah Almutairia, Northern Boarder University, Arar, Northern Boarder 73222, Saudi Arabia
Northern Boarder University, Arar, Northern Boarder 73222, Saudi Arabia

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Published
2019-08-30
How to Cite
Gunaratne, A., & Almutairia, S. (2019). Increasing Stability of The Inverse Source Problem for One Dimensional Domain. MathLAB Journal, 3, 13-19. Retrieved from http://purkh.com/index.php/mathlab/article/view/431
Section
Research Articles