An analysis for a high-order difference scheme for numerical solution toutt =A(x, t)uxx +F(x, t, u, ut,ux)
In: Numerical Methods for Partial Differential Equations, Jg. 23 (2007), S. 484-498
Online
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Zugriff:
This article is concerned with a high-order implicit difference scheme presented by Mohanty, Jain, and George for the nonlinear hyperbolic equation utt = A(x, t)uxx + F(x, t, u, ut, ux) with Dirichlet boundary conditions. Some prior estimates of the difference solution are obtained by the energy methods. The solvability of the difference scheme is proved by the energy method and Brower's fixed point theorem. Similarly, the uniqueness, the convergence in L∞-norm and the stability of the difference solution are obtained. A numerical example is provided to demonstrate the validity of the theoretical results. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 23: 484–498, 2007
| Titel: |
An analysis for a high-order difference scheme for numerical solution toutt =A(x, t)uxx +F(x, t, u, ut,ux)
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| Autor/in / Beteiligte Person: | Li, Wei-Dong ; Sun, Zhi-zhong ; Zhao, Lei |
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| Zeitschrift: | Numerical Methods for Partial Differential Equations, Jg. 23 (2007), S. 484-498 |
| Veröffentlichung: | Wiley, 2007 |
| Medientyp: | unknown |
| ISSN: | 1098-2426 (print) ; 0749-159X (print) |
| DOI: | 10.1002/num.20194 |
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