In this manuscript, a Strang splitting approach combined with Chebyshev wavelets has been used to obtain the numerical solutions of regularized long-wave (RLW) equation with various initial and boundary conditions. The performance of the proposed method measured with three different test problems. To measure the accuracy of the method, \(L_{2}\) and \(L_{\infty }\) error norms and the \(I_{1},I_{2,}\)\(I_{3}\) invariants are computed. The results of the computations are compared with the existing numerical and exact solutions in the literature.

中文翻译：

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结合切比雪夫小波的Strang分裂方法数值求解正则化长波方程

在此手稿中，Strang分裂方法与Chebyshev小波相结合已用于获得具有各种初始条件和边界条件的正则长波（RLW）方程的数值解。所提出的方法的性能通过三个不同的测试问题来衡量。要测量方法的准确性，请使用\（L_ {2} \）和\（L _ {\ infty} \）错误范数以及\（I_ {1}，I_ {2，} \）\（I_ {3} \）计算不变量。将计算结果与文献中现有的数值和精确解进行比较。