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Zbl 1205.65210
Zhao, Yongxiang; Xiao, Aiguo
Variational iteration method for singular perturbation initial value problems. (English)
[J] Comput. Phys. Commun. 181, No. 5, 947-956 (2010). ISSN 0010-4655

Summary: The variational iteration method (VIM) is applied to solve singular perturbation initial value problems (SPIVPs). The obtained sequence of iterates is based on the use of Lagrange multipliers. Some convergence results of VIM for solving SPIVPs are given. Moreover, the illustrative examples show the efficiency of the method.
MSC 2000:
*65L05 Initial value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general
34E15 Asymptotic singular perturbations, general theory (ODE)
65L20 Stability of numerical methods for ODE

Keywords: variational iteration method; initial value problems; singular perturbation; convergence; numerical examples

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