Numerical Simulation for General Rosenau-RLW Equation: An Average Linearized Conservative Scheme
Numerical solutions for the general Rosenau-RLW equation are considered and an energy conservative linearized finite difference scheme is proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence, and a priori error estimate of the scheme are proved using...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2012/517818 |
| Summary: | Numerical solutions for the general Rosenau-RLW equation are considered and
an energy conservative linearized finite difference scheme is proposed. Existence of the solutions
for the difference scheme has been shown. Stability, convergence, and a priori error estimate of the
scheme are proved using energy method. Numerical results demonstrate that the scheme is efficient
and reliable. |
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| ISSN: | 1024-123X 1563-5147 |