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**Improvement of He’s variational iteration method for solving systems of differential equations.**
*(English)*
Zbl 1189.65178

Summary: In recent years a lot of attention from researchers has been attracted to the various aspects of the well known He’s variational iteration method. This method is a very powerful method for solving a large amount of problems. It provides a sequence which converges to the solution of the problem without discretization of the variables. In this work an idea is proposed that accelerates the convergence of the sequences which result from the variational iteration method for solving systems of differential equations. Illustrative examples are presented to show the validity of the new method.

### MSC:

65L99 | Numerical methods for ordinary differential equations |

34A45 | Theoretical approximation of solutions to ordinary differential equations |

### Keywords:

He’s variational iteration method; system of differential equations; modified variational iteration method; system of partial differential equations; system of integral equations
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\textit{M. Tatari} and \textit{M. Dehghan}, Comput. Math. Appl. 58, No. 11--12, 2160--2166 (2009; Zbl 1189.65178)

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### References:

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