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| 摘要: |
| 本文研究了RLW-KdV方程的一个三层线性紧致有限差分格式.该格式是质量守恒和能量守恒的,用离散能量法证明了差分格式的收敛性和稳定性.所建格式的收敛阶为O(τ2+h4).数值实验验证了该格式的有效性和可靠性. |
| 关键词: RLW-KdV方程 紧致有限差分格式 守恒性 稳定性 收敛性 |
| DOI： |
| 分类号:O241.82 |
| 基金项目:福建省自然科学基金项目资助(2020J01796). |
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| A COMPACT FINITE DIFFERENCE SCHEME FOR SOLVING THE RLW-KdV EQUATION |
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DENG Ya-qing,WANG Xiao-feng,HE Yu-yu
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| Abstract: |
| In this paper, a three-level compact finite difference scheme for solving the RLW-KdV equation is proposed. The compact finite difference scheme has conservation of discrete mass and energy. The convergence and stability of the present scheme are proved by the discrete energy method. The rate of the convergence is O(τ2+h4). The numerical experiment shows that the proposed scheme is efficient and reliable. |
| Key words: RLW-KdV equation compact finite difference scheme conservation stability convergence |
