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Engineering with Computers

Conservative and fourth-order compact difference schemes for the generalized Rosenau–Kawahara–RLW equation

  • 24-07-2020
  • Original Article
Published in:
Authors
Xiaofeng Wang
Hong Cheng
Weizhong Dai
Published in
Engineering with Computers | Issue 2/2022

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Abstract

In this article, we present two conservative and fourth-order compact finite-difference schemes for solving the generalized Rosenau–Kawahara–RLW equation. The proposed schemes are energy-conserved, convergent, and unconditionally stable, and the numerical convergence orders in both \(l_{2}\)-norm and \(l_{\infty }\)-norm are of \(O(\tau ^{2}+h^{4})\). Numerical experiments demonstrate that the present schemes are efficient and reliable.

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Title
Conservative and fourth-order compact difference schemes for the generalized Rosenau–Kawahara–RLW equation
Authors
Xiaofeng Wang
Hong Cheng
Weizhong Dai
Publication date
24-07-2020
Publisher
Springer London
Published in
Engineering with Computers / Issue 2/2022
Print ISSN: 0177-0667
Electronic ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-020-01113-9
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