Variational Iteration Method for Singular Perturbation Initial Value Problems with Delays | Zendy

Yongxiang Zhao | Zendy; Aiguo Xiao | Zendy; Li Li | Zendy; Chengjian Zhang | Zendy

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Variational Iteration Method for Singular Perturbation Initial Value Problems with Delays

Author(s) -

Yongxiang Zhao,

Aiguo Xiao,

Li Li,

Chengjian Zhang

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/850343

Subject(s) - iterated function , mathematics , lagrange multiplier , singular perturbation , perturbation (astronomy) , convergence (economics) , variational inequality , iterative method , sequence (biology) , mathematical optimization , mathematical analysis , physics , quantum mechanics , biology , economics , genetics , economic growth

The variational iteration method (VIM) is applied to solve singular perturbation initial value problems with delays (SPIVPDs). Some convergence results of VIM for solving SPIVPDs are given. The obtained sequence of iterates is based on the use of general Lagrange multipliers; the multipliers in the functionals can be identified by the variational theory. Moreover, the numerical examples show the efficiency of the method

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