scholarly journals Study on derivation and optimization algorithm about thin plate bending large deformation higher-order nonlinear partial differential equations

2012 ◽  
Vol 61 (18) ◽  
pp. 180201
Author(s):  
Hou Xiang-Lin ◽  
Zheng Xi-Jian ◽  
Zhang Liang ◽  
Liu Tie-Lin
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Large Deformation ◽  
Thin Plate ◽  
Optimization Algorithm ◽  
Nonlinear Partial Differential Equations ◽  
Higher Order ◽  
Plate Bending ◽  
Partial Differential ◽  
Thin Plate Bending

scholarly journals Extension of Optimal Homotopy Asymptotic Method with Use of Daftardar–Jeffery Polynomials to Coupled Nonlinear-Korteweg-De-Vries System

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-6 ◽  
Author(s):  
Rashid Nawaz ◽  
Zawar Hussain ◽  
Abraiz Khattak ◽  
Adam Khan
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Asymptotic Method ◽  
Nonlinear Partial Differential Equations ◽  
Coupled System ◽  
Higher Order ◽  
Partial Differential ◽  
De Vries ◽  
Optimal Homotopy Asymptotic Method

In this paper, Daftardar–Jeffery Polynomials are introduced in the Optimal Homotopy Asymptotic Method for solution of a coupled system of nonlinear partial differential equations. The coupled nonlinear KdV system is taken as test example. The results obtained by the proposed method are compared with the multistage Optimal Homotopy Asymptotic Method. The results show the efficiency and consistency of the proposed method over the Optimal Homotopy Asymptotic Method. In addition, accuracy of the proposed method can be improved by taking higher order approximations.

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