文章基本信息

标题：A new method for approximate solutions of some nonlinear equations: Residual power series method
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作者：Mustafa Inc ; Zeliha S Korpinar ; Maysaa’ Mohamed Al Qurashi 等
期刊名称：Advances in Mechanical Engineering
印刷版ISSN：1687-8140
电子版ISSN：1687-8140
出版年度：2016
卷号：8
期号：4
DOI：10.1177/1687814016644580
语种：English
出版社：Sage Publications Ltd.
摘要：In this work, a powerful iterative method called residual power series method is introduced to obtain approximate solutions of nonlinear time-dependent generalized Fitzhugh–Nagumo equation with time-dependent coefficients and Sharma–Tasso–Olver equation subjected to certain initial conditions. The consequences show that this method is efficient and convenient, and can be applied to a large sort of problems. The approximate solutions are compared with the known exact solutions.
关键词：Residual power series method; nonlinear time-dependent generalized Fitzhugh–Nagumo equation; Sharma–Tasso–Olver equation