Chunk, Sank K. ; Pani, Amiya K. (2001) Numerical methods for the Rosenau equation Applicable Analysis, 77 (3-4). pp. 351-369. ISSN 0003-6811
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Official URL: http://www.tandfonline.com/doi/abs/10.1080/0003681...
Related URL: http://dx.doi.org/10.1080/00036810108840914
Abstract
In this paper, a continuous in time finite element Galerkin method is first discussed for a KdV-like Rosenau equation in several space variables and optimal error estimates in L2, H1 as well as in H2- norms are derived for conforming C1-finite element spaces. Finally, several fully discrete schemes like backward Euler, Crank-Nicolson and two step backward methods are proposed and related convergence results are established.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Taylor and Francis Group. |
| Keywords: | Finite Element Method; Conforming C1-elements; Rosenau Equation; Semidiscrete Schemes; Backward Euler; Two Step Backward and Crank-Nicolson Methods; Optimal Error Estimates |
| ID Code: | 81967 |
| Deposited On: | 09 Feb 2012 04:43 |
| Last Modified: | 09 Feb 2012 04:43 |
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