Numerical Simulation for General Rosenau-RLW Equation: AnAverage Linearized Conservative Scheme

By Xin-tian Pan, Lu-ming Zhang. 2012

52 citations recorded by the source corpus.

Numerical solutions for the general Rosenau-RLW equation are considered and an energy conservative linearized finite difference scheme is proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence, and a priori error estimate of the scheme are proved using energy method. Numerical results demonstrate that the scheme is efficient and reliable.

Subfields: Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b1b4c42479bba39c8670a6c9f285a29b5c52aa29

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In Statistical and Nonlinear Physics

1. Ahlem Ghiloufi
2. Khaled Omrani

Citations in the corpus

• Conservative Linear Difference Scheme for Rosenau-KdV Equation (2013, background): “A lot of numerical experiments show that the conservative scheme can possesses some invariant properties of the original differential equation [18–29].”