A High-Accuracy Linear Conservative Difference Scheme for Rosenau-RLW Equation
2013 ◽
Vol 2013
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pp. 1-8
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Keyword(s):
A Priori
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We study the initial-boundary value problem for Rosenau-RLW equation. We propose a three-level linear finite difference scheme, which has the theoretical accuracy ofOτ2+h4. The scheme simulates two conservative properties of original problem well. The existence, uniqueness of difference solution, and a priori estimates in infinite norm are obtained. Furthermore, we analyze the convergence and stability of the scheme by energy method. At last, numerical experiments demonstrate the theoretical results.
2007 ◽
Vol 12
(1)
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pp. 3-20
1972 ◽
Vol 69
(4)
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pp. 287-293
1997 ◽
Vol 49
(3)
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pp. 373-402
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