A new least-squares method based on cubic B-spline functions is presented to solve regularized long-wave (RLW) equation numerically. An algebraic system of equations is obtained by employing the least-squares method based on cubic B-spline approximation for spatial discretization and the Crank–Nicolson technique for time discretization for integrating the RLW equation. The two test problems are implemented to show suitability of the proposed scheme. New results have been compared with those of some previous studies available in the literature.

中文翻译：

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正则化长波方程数值解的三次B样条最小二乘有限元法

提出了一种基于三次B样条函数的最小二乘法数值求解正则化长波(RLW)方程。通过使用基于三次B样条近似的最小二乘法进行空间离散化和用于时间离散化的Crank-Nicolson技术对RLW方程进行积分，得到代数方程组。实施这两个测试问题以显示所提出方案的适用性。新结果已与文献中一些先前研究的结果进行了比较。