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An analytical method with Padé technique for solving of variational problems

An analytical method with Padé technique for solving of variational problems AbstractIn 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Engineering de Gruyter

An analytical method with Padé technique for solving of variational problems

Jaffarian, H.; Sayevand, K.; Kumar, Sunil
Nonlinear Engineering , Volume 6 (4): 4 – Dec 20, 2017
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Publisher
de Gruyter
Copyright
© 2017 Walter de Gruyter GmbH, Berlin/Boston
ISSN
2192-8029
eISSN
2192-8029
DOI
10.1515/nleng-2016-0065
Publisher site
See Article on Publisher Site

Abstract

AbstractIn 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.

Journal

Nonlinear Engineering – de Gruyter

Published: Dec 20, 2017

References

  • Newton-homotopy analysis method for nonlinear equations
  • Solution of system of the mixed Volterra-Fredholm integral equations by an analytical method
  • Solving systems of ODEs by homotopy analysis method