Notes on the optimal variational iteration method

Applied Mathematics Letters

Volumn 25, Issue 10, 2012, Pages 1579-1581

  He, Ji Huan ^a  

^a SOOCHOW UNIVERSITY   (China)

Author keywords

Auxiliary parameter; Least squares method; Variational iteration method

Indexed keywords

AUXILIARY PARAMETER; INITIAL SOLUTION; ITERATION ALGORITHMS; ITERATION PROCEDURE; LEAST SQUARES METHODS; OPTIMAL VARIATIONAL ITERATION METHODS; VARIATIONAL ITERATION METHOD;

ALGORITHMS; LEAST SQUARES APPROXIMATIONS; OPTIMIZATION;

ITERATIVE METHODS;

EID: 84862993259     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2012.01.004     Document Type: Letter

References (12)

1. M. Turkyilmazoglu An optimal variational iteration method Appl. Math. Lett. 24 5 2011 762 765
2. E. Yilmaz, and M. Inc Numerical simulation of the squeezing flow between two infinite plates by means of the modified variational iteration method with an auxiliary parameter Nonlinear Sci. Lett. A 1 2010 297 306
3. M.M. Hosseini, S.T. Mohyud-Din, and H. Ghaneai Auxiliary parameter in the variational iteration method and its optimal determination Int. J. Nonlinear Sci. Num. 11 7 2010 495 502
4. M.M. Hosseini, S.T. Mohyud-Dinb, and H. Ghaneai Variational iteration method for nonlinear age-structured population models using auxiliary parameter Z. Naturforsch. A 65 2010 1137 1142
5. N. Herişanu, and V. Marinca A modified variational iteration method for strongly nonlinear problems Nonlinear Science Letters A 1 2010 183 192
6. J.-H. He, G.-C. Wu, and F. Austin The variational iteration method which should be followed Nonlinear Science Letters A 1 2010 1 30
7. J.H. He, and X.H. Wu Variational iteration method: new development and applications Comput. Math. Appl. 54 2007 881 894
8. J.H. He Variational iteration method - some recent results and new interpretations J. Comput. Appl. Math. 207 2007 3 17
9. B.Y. Wu, and X.Y. Li Second-order two-point boundary value problems using the variational iteration algorithm-II Int. J. Comput. Math. 88 6 2011 1201 1207
10. N. Faraz, Y. Khan, and F. Austin An alternative approach to differential-difference equations using the variational iteration method Z. Naturforsch. A 65 12 2010 1055 1059
11. V. Marinca, and N. Herişanu Nonlinear dynamic analysis of an electrical machine rotor-bearing system by the optimal homotopy perturbation method Comput. Math. Appl. 61 8 2011 2019 2024
12. V. Marinca, and N. Herişanu Optimal homotopy perturbation method for strongly nonlinear differential equations Nonlinear Science Letters A 1 2010 273 280