Abstract
In this study, we are interested in the regularization of an ill-posed problem generated by a generalized elliptic equation in an abstract framework. The regularization strategy is based on the modified quasi-boundary-valued method, which allows us to construct a stable solution depending on a small parameter ϵ. To justify the theoretical results obtained, we present a few numerical examples to demonstrate the accuracy of the approximate solution and the effectiveness of the method used in our investigation.
| Original language | British English |
|---|---|
| Article number | 20240036 |
| Journal | Advances in Nonlinear Analysis |
| Volume | 13 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2024 |
Keywords
- fractional elliptic equations
- ill-posed problems
- quasi-boundary-value method
- regularization