Solving an inverse Cauchy Problem for modified Helmholtz Equations depending on a polynomial expansion approximation
In this study, a heat conduction in fin-related inverse problem for the modified Helmholtz equation is taken into consideration. The purpose of this study is to estimate the temperature on an under-specified boundary (a part of the outer border of a given domain) by using the Cauchy data, on a port...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
College of science, university of Diyala
2025-01-01
|
| Series: | Academic Science Journal |
| Online Access: | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/135 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this study, a heat conduction in fin-related inverse problem for the modified Helmholtz equation is taken into consideration. The purpose of this study is to estimate the temperature on an under-specified boundary (a part of the outer border of a given domain) by using the Cauchy data, on a portion of the boundary that is accessible (boundary temperature and heat flux). The suggested meshless approach is used to numerically solve this problem. By injecting a noise to the Cauchy data, the stability is verified.
|
|---|---|
| ISSN: | 2958-4612 2959-5568 |