TY - JOUR
T1 - Investigation of the nonlinear equation of the circular sector oscillator by Akbari-Ganji’s method
AU - Mirgolbabaee, Hadi
AU - Ledari, Soheil Tahernejad
AU - Zadeh, Navid Mohammad
AU - Ganji, Davood Domiri
PY - 2017/11
Y1 - 2017/11
N2 - In this paper, a new and innovative semi-analytical method called Akbari-Ganji’s method (AGM) has been applied to solve nonlinear equations of the semicircular oscillator. The major concern is to achieve an accurate solution that has an efficient approximation according to the Runge-Kutta numerical method. The results are presented for different values of parameters to demonstrate the applicability of this method. It was found that the proposed solution is very accurate and efficient for the discussed problem. It is worthwhile to mention that not only do convergence problems for solving nonlinear equations by using AGM appear small, but the results also demonstrate that the AGM could be applied to nonlinear problems with high nonlinearity.
AB - In this paper, a new and innovative semi-analytical method called Akbari-Ganji’s method (AGM) has been applied to solve nonlinear equations of the semicircular oscillator. The major concern is to achieve an accurate solution that has an efficient approximation according to the Runge-Kutta numerical method. The results are presented for different values of parameters to demonstrate the applicability of this method. It was found that the proposed solution is very accurate and efficient for the discussed problem. It is worthwhile to mention that not only do convergence problems for solving nonlinear equations by using AGM appear small, but the results also demonstrate that the AGM could be applied to nonlinear problems with high nonlinearity.
U2 - 10.1016/j.jtusci.2016.11.001
DO - 10.1016/j.jtusci.2016.11.001
M3 - Article
SN - 1658-3612
VL - 11
SP - 1110
EP - 1121
JO - Journal of Taibah University for Science
JF - Journal of Taibah University for Science
IS - 6
ER -