Numerical methods for the Rosenau equation

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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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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