Open AccessA new method for approximate solutions of some nonlinear equations: Residual power series method
Author(s) -
Zeliha Körpınar,
M. M. Qurashi,
Dumitru Bǎleanu
Publication year - 2016
Publication title -
advances in mechanical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.318
H-Index - 40
eISSN - 1687-8140
pISSN - 1687-8132
DOI - 10.1177/1687814016644580
Subject(s) - residual , series (stratigraphy) , nonlinear system , power series , mathematics , iterative method , power (physics) , sort , work (physics) , method of mean weighted residuals , mathematical optimization , mathematical analysis , algorithm , physics , paleontology , quantum mechanics , thermodynamics , biology , arithmetic , galerkin method
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
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