ملخص
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.
اللغة الأصلية | الإنجليزيّة |
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رقم المقال | 116153 |
دورية | Journal of Computational and Applied Mathematics |
مستوى الصوت | 453 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | نُشِر - 1 يناير 2025 |