A nonlinear compact method based on double reduction order scheme for the nonlocal fourth-order PDEs with Burgers’ type nonlinearity

Author:

Wang Jiawei,Jiang Xiaoxuan,Yang Xuehua,Zhang Haixiang

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference32 articles.

1. Li, D., Zhang, C., Ran, M.: A linear finite difference scheme for generalized time fractional Burgers equation. Appl. Math. Model. 40(11–12), 6069–6081 (2016)

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3. Crighton, D.G., Scott, J.F.: Asymptotic solutions of model equations in nonlinear acoustics. Philos. Trans. R. Soc. Lond. Ser. A. Math. Phys. Sci. 292(1389), 101–134 (1979)

4. Bouchaud, J.P., Mezard, M.: Velocity fluctuations in forced Burgers turbulence. Phys. Rev. E 54(5), 5116 (1996)

5. Yepez, J.: Quantum lattice-gas model for the Burgers equation. J. Stat. Phys. 107(1), 203–224 (2002)

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