Abstract
In this work, we study two boundary value problems for involutary parabolic equation with the first and second kind conditions. We propose absolute stable difference schemes for numerical solutions of these boundary value problems. Actually the stability estimates for solutions of difference schemes are proved. Later error analysis for the numerical solution of both difference schemes are illustrated by test examples.
| Original language | English |
|---|---|
| Pages (from-to) | 48-57 |
| Number of pages | 10 |
| Journal | Bulletin of the Karaganda University. Mathematics Series |
| Volume | 109 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2023 |
| Externally published | Yes |
Keywords
- boundary value problem
- finite difference scheme
- involution
- parabolic
- stability estimate