Analytical Solution for the Time Fractional BBM-Burger Equation by Using Modified Residual Power Series Method

Autor: Jianke Zhang, Zhirou Wei, Longquan Yong, Yuelei Xiao
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Complexity, Vol 2018 (2018)
Druh dokumentu: article
ISSN: 1076-2787
1099-0526
67384900
DOI: 10.1155/2018/2891373
Popis: In this study, a generalized Taylor series formula together with residual error function, which is named the residual power series method (RPSM), is used for finding the series solution of the time fractional Benjamin-Bona-Mahony-Burger (BBM-Burger) equation. The BBM-Burger equation is useful in describing approximately the unidirectional propagation of long waves in certain nonlinear dispersive systems. The numerical solution of the BBM-Burger equation is calculated by Maple. The numerical results show that the RPSM is reliable and powerful in solving the numerical solutions of the BBM-Burger equation compared with the exact solutions as well as the solutions obtained by homotopy analysis transform method through different graphical representations and tables.
Databáze: Directory of Open Access Journals
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