A Fourth-Order Conservative Compact Finite Difference Scheme for the Generalized RLW Equation

作者：Li, Shuguang^*; Wang, Jue; Luo, Yuesheng

来源：Mathematical Problems in Engineering, 2015, 2015: 960602.

DOI：10.1155/2015/960602

• Compact finite difference schemes
• Compact schemes
• Convergence and stability
• Difference schemes
• Discrete energies
• Generalized regularized long-wave equations
• Numerical convergence
• Numerical experiments

The generalized regularized long-wave (GRLW) equation is studied by finite difference method. A new fourth-order energy conservative compact finite difference scheme was proposed. It is proved by the discrete energy method that the compact scheme is solvable, the convergence and stability of the difference schemes are obtained, and its numerical convergence order is.. (tau(2) h(4)) in the L-infinity-norm. Further, the compact schemes are conservative. Numerical experiment results show that the theory is accurate and the method is efficient and reliable.

• 出版日期2015
• 单位哈尔滨工程大学