Nonlinear nonlocal problems for a parabolic equation in a two-dimensional domain
Abstract We establish the convergence of the Rothe method for a parabolic equation with nonlocal boundary conditions and obtain an a priori estimate for the constructed difference scheme in the grid norm on a ball. We prove that the suggested iterative process for the solution of the posed problem c...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Mitropol’skii, Yu. A. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1997 |
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| Schlagwörter: |
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| Anmerkung: |
© Plenum Publishing Corporation 1998 |
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| Übergeordnetes Werk: |
Enthalten in: Ukrainian mathematical journal - Springer Netherlands, 1967, 49(1997), 2 vom: Feb., Seite 269-280 |
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| Übergeordnetes Werk: |
volume:49 ; year:1997 ; number:2 ; month:02 ; pages:269-280 |
| Links: |
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| DOI / URN: |
10.1007/BF02486441 |
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OLC2054543306 |
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| 520 | |a Abstract We establish the convergence of the Rothe method for a parabolic equation with nonlocal boundary conditions and obtain an a priori estimate for the constructed difference scheme in the grid norm on a ball. We prove that the suggested iterative process for the solution of the posed problem converges in the small. | ||
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Abstract We establish the convergence of the Rothe method for a parabolic equation with nonlocal boundary conditions and obtain an a priori estimate for the constructed difference scheme in the grid norm on a ball. We prove that the suggested iterative process for the solution of the posed problem converges in the small. © Plenum Publishing Corporation 1998 |
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Abstract We establish the convergence of the Rothe method for a parabolic equation with nonlocal boundary conditions and obtain an a priori estimate for the constructed difference scheme in the grid norm on a ball. We prove that the suggested iterative process for the solution of the posed problem converges in the small. © Plenum Publishing Corporation 1998 |
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Abstract We establish the convergence of the Rothe method for a parabolic equation with nonlocal boundary conditions and obtain an a priori estimate for the constructed difference scheme in the grid norm on a ball. We prove that the suggested iterative process for the solution of the posed problem converges in the small. © Plenum Publishing Corporation 1998 |
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