תקציר
In this paper, we present an approach to enhance interpolation and approximation error estimates. Based on a previously derived first-order Taylor-like formula, we demonstrate its applicability in improving the P1-interpolation error estimate. Following the same principles, we have also developed a novel numerical scheme for the heat equation that provides a better error estimate compared to the classical implicit finite differences scheme. Numerical illustrations confirm this behavior.
שפה מקורית | אנגלית |
---|---|
מספר המאמר | 116153 |
כתב עת | Journal of Computational and Applied Mathematics |
כרך | 453 |
מזהי עצם דיגיטלי (DOIs) | |
סטטוס פרסום | פורסם - 1 ינו׳ 2025 |