Generalized high-order compact difference schemes for the generalized Rosenau–Burgers equation

Luo, Shidong; He, Yuyu; Ling, Yonghui

doi:10.1007/s40314-024-02846-9

Comp. Appl. Math.

2024

DOI: 10.1007/s40314-024-02846-9

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Generalized high-order compact difference schemes for the generalized Rosenau–Burgers equation

Shidong Luo,

Yuyu He,

Yonghui Ling

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2024

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Cited by 2 publications

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Numerical simulations of Rosenau–Burgers equations via Crank–Nicolson spectral Pell matrix algorithm

Izadi,

Srivastava,

Mamehrashi

2024

J. Appl. Math. Comput.

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Numerical simulations of Rosenau–Burgers equations via Crank–Nicolson spectral Pell matrix algorithm

Izadi,

Srivastava,

Mamehrashi

2024

J. Appl. Math. Comput.

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The Fractal Modification of the Rosenau–burgers Equation and Its Fractal Variational Principle

XU,

LONG,

SHAN

et al. 2024

Fractals

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A new fractal Rosenau–Burgers equation with He’s fractal derivative is proposed in this work. Exerting the semi-inverse method, two different kinds of the generalized fractal variational principles (GFVPs) of the fractal Rosenau–Burgers equation are constructed. The GFVPs extracted in this paper are expected to bring some new inspiration for the study and application of the variational method in the fractal space.

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Generalized high-order compact difference schemes for the generalized Rosenau–Burgers equation

Cited by 2 publications

References 30 publications

Numerical simulations of Rosenau–Burgers equations via Crank–Nicolson spectral Pell matrix algorithm

Numerical simulations of Rosenau–Burgers equations via Crank–Nicolson spectral Pell matrix algorithm

The Fractal Modification of the Rosenau–burgers Equation and Its Fractal Variational Principle

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