\begin{document}$10^{-1}$\end{document}, and the absolute error is reduced to \begin{document}$10^{-4}$\end{document} after the modification. Moreover, the modified method expands the convergence domain of the original numerical solution. And the Benjamin-Bona-Mahony-Burgers equation can be degenerated to the Benjamin-Bona-Mahony and the Burgers equation under the appropriate parameter selection. For the Benjamin-Bona-Mahony-Burgers equation, if using the normal method, we can find that the numerical solution will not converge. But the accuracy of the numerical solution is decreased to \begin{document}$10^{-3}$\end{document} by using the variational iteration method with auxiliary parameters, which is superior to the original variational iteration method in the approximation effect of the true solution. This numerical method also provides a scheme and reference for the numerical solution of other strong-nonlinear solitary wave differential equations. This scheme provieds a continuous solution in the time and space domain, which differs from the finite difference method, finite volume scheme and so on. That means we can use this method independently without using any other scheme to match our approarch, this is also the advantage of the modified variational iteration method."> - 必威体育下载

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    Zhong Ming, Tian Shou-Fu, Shi Yi-Qing
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    • Abstract views:4135
    • PDF Downloads:76
    • Cited By:0
    Publishing process
    • Received Date:17 December 2020
    • Accepted Date:24 May 2021
    • Available Online:17 September 2021
    • Published Online:05 October 2021

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