An analytical method with Padé technique for solving of variational problems

Nonlinear engineering: Modeling and application

article

H. Jaffarian¹  K. Sayevand²  Sunil Kumar³ 

[1] Department of Mathematics, Payme Noor University;Faculty of Mathematical Sciences, Malayer University;Department of Mathematics, National Institute of Technology Jamshedpur

关键词: Variational problems;    Euler-Lagrange;    Homotopy analysis method;    Padé;   

DOI  :  10.1515/nleng-2016-0065

来源: De Gruyter

【 摘 要 】

In this paper, the homotopy analysis method (HAM) is employed to solve a class of variational problems (VPs). By using the so-called ħ -curves, we determine the convergence parameter ħ , which plays key role to control convergence of solution series. Also we use Pade’ approximant to improve accuracy of the method. Two test example are given to clarify the applicability and efficiency of the proposed method.

【 授权许可】

Unknown