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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Vydané v:	Applied mathematics and computation Ročník 410; s. 126455
Hlavní autori:	Rouatbi, Asma, Omrani, Khaled
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 01.12.2021
Predmet:	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
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