A modified three-level average linear-implicit finite difference method for the Rosenau-Burgers equation
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Publication:2248385
DOI10.1155/2014/734067zbMath1291.76230OpenAlexW2039243867WikidataQ59046155 ScholiaQ59046155MaRDI QIDQ2248385
T. Mouktonglang, Jiraporn Janwised, Kanyuta Poochinapan, Ben Wongsaijai
Publication date: 26 June 2014
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/734067
KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods applied to problems in fluid mechanics (76M20)
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Cites Work
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- On the blow-up of solutions of the Benjamin-Bona-Mahony-Burgers and Rosenau-Burgers equations
- A new finite difference scheme for the Rosenau-Burgers equation
- Average implicit linear difference scheme for generalized Rosenau-Burgers equation
- A discontinuous Galerkin method for the Rosenau equation
- A new conservative finite difference scheme for the Rosenau equation
- A better asymptotic profile of Rosenau-Burgers equation
- Asymptotic behavior of solutions to the Rosenau-Burgers equation with a periodic initial boundary
- Crank-Nicolson finite difference scheme for the Rosenau-Burgers equation
- Two conservative difference schemes for the generalized Rosenau equation
- Long-time behaviour of solution for rosenau-burgers equation(II)