A new method for approximate solutions of some nonlinear equations: Residual power series method

被引：2

作者：

Inc, Mustafa ^{[1
]}

Korpinar, Zeliha S. ^{[2
]}

Al Qurashi, Maysaa' Mohamed ^{[3
]}

Baleanu, Dumitru ^{[4
,5
]}

机构：

[1] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey

[2] Mus Alparslan Univ, Fac Econ & Adm Sci, Dept Adm, Mus, Turkey

[3] King Saud Univ, Dept Math, Riyadh, Saudi Arabia

[4] Cankaya Univ, Dept Math, Ankara, Turkey

[5] Inst Space Sci, Magurele, Romania

来源：

ADVANCES IN MECHANICAL ENGINEERING | 2016年 / 8卷 / 04期

关键词：

Residual power series method; nonlinear time-dependent generalized Fitzhugh-Nagumo equation; Sharma-Tasso-Olver equation; FITZHUGH-NAGUMO EQUATION; SOLITON-SOLUTIONS;

D O I：

10.1177/1687814016644580

中图分类号：

O414.1 [热力学];

学科分类号：

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.

引用

页码：1 / 7

页数：7

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