Accuracy Estimates of Difference Schemes for Quasi-linear Parabolic Equations Taking into Account the Initial-boundary Effect
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| 024 | 7 | 0 | |a 10.2478/cmam-2003-0036 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0036 | ||
| 245 | 0 | 0 | |a Accuracy Estimates of Difference Schemes for Quasi-linear Parabolic Equations Taking into Account the Initial-boundary Effect |h [Elektronische Daten] |
| 520 | 3 | |a For difference schemes the initial-boundary problem for quasi-linear parabolic-type equations, 'a priori weight estimates' of the error have been found. These estimates show how much the accuracy of difference schemes near the boundary of a time rectangle is higher than in the middle of it. Sufficient conditions of smoothness of the coefficients and the right-hand side of the quasi-linear parabolic equation and the initial conditions have been found. These conditions ensure a correctness of these a priori estimates. | |
| 540 | |a This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. | ||
| 690 | 7 | |a difference scheme |2 nationallicence | |
| 690 | 7 | |a accuracy estimates |2 nationallicence | |
| 690 | 7 | |a initial-boundary problems |2 nationallicence | |
| 690 | 7 | |a parabolic-type equation |2 nationallicence | |
| 690 | 7 | |a approximation |2 nationallicence | |
| 700 | 1 | |a Makarov |D V. L. |u Institute of Mathematics, National Academy of Sciences, 3 Tereschenkivska St., 01601 Kyiv, Ukraine. | |
| 700 | 1 | |a Demkiv |D L. I. |u National University "Lvivska Polytechnica", 12 St. Bandera str., 79013 Lviv, Ukraine. | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/4(2003), 579-595 |x 1609-4840 |q 3:4<579 |1 2003 |2 3 |o cmam | |
| 856 | 4 | 0 | |u https://doi.org/10.2478/cmam-2003-0036 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.2478/cmam-2003-0036 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Makarov |D V. L. |u Institute of Mathematics, National Academy of Sciences, 3 Tereschenkivska St., 01601 Kyiv, Ukraine | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Demkiv |D L. I. |u National University "Lvivska Polytechnica", 12 St. Bandera str., 79013 Lviv, Ukraine | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/4(2003), 579-595 |x 1609-4840 |q 3:4<579 |1 2003 |2 3 |o cmam | ||
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