Comments on the paper ”A conservative linear difference scheme for the 2D regularized long-wave equation”, by Xiaofeng Wang, Weizhong Dai and Shuangbing Guo [Applied Mathematics and Computation, 342 (2019) 55-70]

•The convergence analysis and the techniques used in Lemma 3.3 by X. Wang et al. in [1] are based essentially on Sobolev’s inequality in one dimension and they cannot be extended to two dimensions.•All results based on Lemma 3.3 are false, in particular Theorem 3.3, Theorem 4.1, Theorem 5.1 and Theo...

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Veröffentlicht in:	Applied mathematics and computation Jg. 410; S. 126455
Hauptverfasser:	Rouatbi, Asma, Omrani, Khaled
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Inc 01.12.2021
Schlagworte:	Convergence Discrete Sobolev inequality Linearized difference scheme Regularized long-wave (RLW) equation Stability Regularized long-wave (RLW) equation Linearized difference scheme Stability Discrete Sobolev inequality Convergence
ISSN:	0096-3003, 1873-5649
Online-Zugang:	Volltext
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