Abstract
In this paper, an asymptotic method for nonlinear singular singularly perturbed boundary value problems with discontinuous right-hand side is investigated. We not only show existence of a solution with a step-like contrast structure, but also construct an asymptotic expansion of the solution. In addition, remainder estimation of the approximate solution is also given. Finally, an example is used to verify the correctness of the above theory.
| Original language | English |
|---|---|
| Pages (from-to) | 845-859 |
| Number of pages | 15 |
| Journal | Journal of Applied Analysis and Computation |
| Volume | 13 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 2023 |
Keywords
- Asymptotic method
- discontinuous right-hand side
- singularly perturbed equations