Convergence of Variational Iteration Method for Second-Order Delay Differential Equations
This paper employs the variational iteration method to obtain analytical solutions of second-order delay differential equations. The corresponding convergence results are obtained, and an effective technique for choosing a reasonable Lagrange multiplier is designed in the solving process. Moreover,...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/634670 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832547591198343168 |
|---|---|
| author | Hongliang Liu Aiguo Xiao Lihong Su |
| author_facet | Hongliang Liu Aiguo Xiao Lihong Su |
| author_sort | Hongliang Liu |
| collection | DOAJ |
| description | This paper employs the variational iteration method to obtain analytical solutions of second-order delay differential equations. The corresponding convergence results are obtained, and an effective technique for choosing a reasonable Lagrange multiplier is designed in the solving process. Moreover, some illustrative examples are given to show the efficiency of this method. |
| format | Article |
| id | doaj-art-9cd222f90c174243916564a9b770a0b2 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9cd222f90c174243916564a9b770a0b22025-02-03T06:44:22ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/634670634670Convergence of Variational Iteration Method for Second-Order Delay Differential EquationsHongliang Liu0Aiguo Xiao1Lihong Su2Hunan Key Laboratory for Computation and Simulation in Science and Engineering and Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, Xiangtan University, Xiangtan, Hunan 411105, ChinaHunan Key Laboratory for Computation and Simulation in Science and Engineering and Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, Xiangtan University, Xiangtan, Hunan 411105, ChinaHunan Key Laboratory for Computation and Simulation in Science and Engineering and Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, Xiangtan University, Xiangtan, Hunan 411105, ChinaThis paper employs the variational iteration method to obtain analytical solutions of second-order delay differential equations. The corresponding convergence results are obtained, and an effective technique for choosing a reasonable Lagrange multiplier is designed in the solving process. Moreover, some illustrative examples are given to show the efficiency of this method.http://dx.doi.org/10.1155/2013/634670 |
| spellingShingle | Hongliang Liu Aiguo Xiao Lihong Su Convergence of Variational Iteration Method for Second-Order Delay Differential Equations Journal of Applied Mathematics |
| title | Convergence of Variational Iteration Method for Second-Order Delay Differential Equations |
| title_full | Convergence of Variational Iteration Method for Second-Order Delay Differential Equations |
| title_fullStr | Convergence of Variational Iteration Method for Second-Order Delay Differential Equations |
| title_full_unstemmed | Convergence of Variational Iteration Method for Second-Order Delay Differential Equations |
| title_short | Convergence of Variational Iteration Method for Second-Order Delay Differential Equations |
| title_sort | convergence of variational iteration method for second order delay differential equations |
| url | http://dx.doi.org/10.1155/2013/634670 |
| work_keys_str_mv | AT hongliangliu convergenceofvariationaliterationmethodforsecondorderdelaydifferentialequations AT aiguoxiao convergenceofvariationaliterationmethodforsecondorderdelaydifferentialequations AT lihongsu convergenceofvariationaliterationmethodforsecondorderdelaydifferentialequations |