Abstract

The generalized regularized long wave equation is very important that can be applied in the field of physics,
science and technology. Some authors have put forward many different numerical method, but the precision is
not enough high. In this paper, we will illustrate the high-precision numerical method to solve the generalized
regularized long wave equation. Three numerical examples are studied to demonstrate the accuracy of the
present method. Results obtained by our method indicate new algorithm has the following advantages: small
computational work, fast convergence speed and high precision.

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