Placement Inverse Source Problem under Partition Hyperbolic Equation

  • Shilan Othman Hussein Department of Mathematics, College of Science, University of Sulaymaniyah, Kurdistan Region, Iraq
Keywords: Inverse force hyperbolic problem, Regularization method, the left end flux tension of the string

Abstract

In this article, the inverse source problem is determined by the partition hyperbolic equation under the left end flux tension of the string, where the extra measurement is considered. The approximate solution is obtained in the form of splitting and applying the finite difference method (FDM). Moreover, this problem is ill-posed, dealing with instability of force after adding noise to the additional condition. To stabilize the solution, the regularization matrix is considered. Consequently, it is proved by error estimates between the regularized solution and the exact solution. The numerical results show that the method is efficient and stable.

Published
2021-07-01
How to Cite
Hussein, S. O. (2021). Placement Inverse Source Problem under Partition Hyperbolic Equation. Iraqi Journal of Science, 62(6), 1994-1999. https://doi.org/10.24996/ijs.2021.62.6.25
Section
Mathematics