Ritz Legendre Multiwavelet Method for the Damped Generalized Regularized Long-Wave Equation
Keyword(s):
In this paper, a numerical method is proposed to approximate the solution of the nonlinear damped generalized regularized long-wave (DGRLW) equation with a variable coefficient. The method is based upon Ritz Legendre multiwavelet approximations. The properties of Legendre multiwavelet are first presented. These properties together with the Galerkin method are then utilized to reduce the nonlinear DGRLW equation to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
Keyword(s):
2017 ◽
Vol 24
(1)
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pp. 198-205
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2009 ◽
Vol 180
(10)
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pp. 1821-1831
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2017 ◽
Vol 315
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pp. 54-69
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2006 ◽
Vol 174
(2)
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pp. 833-845
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2008 ◽
Vol 30
(5)
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pp. 2263-2285
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2009 ◽
Vol 14
(5)
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pp. 2025-2033
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