A new method for approximate solutions of some nonlinear equations: Residual power series method-Reference-Cited by-同舟云学术

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

Published:2016-04-01 Issue:4 Volume:8 Page:168781401664458
ISSN:1687-8140
Container-title:Advances in Mechanical Engineering
language:en
Short-container-title:Advances in Mechanical Engineering

Author:

Inc Mustafa¹,Korpinar Zeliha S²,Al Qurashi Maysaa’ Mohamed³,Baleanu Dumitru⁴⁵

Affiliation:

1. Department of Mathematics, Science Faculty, Firat University, Elazığ, Turkey

2. Department of Administration, Faculty of Economic and Administrative Sciences, Muş Alparslan University, Muş, Turkey

3. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

4. Department of Mathematics, Çankaya University, Ankara, Turkey

5. Institute of Space Sciences, Magurele, Romania

Abstract

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.

Publisher

SAGE Publications

Subject

Mechanical Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/1687814016644580

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