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He’s variational iteration method for solving linear and non-linear systems of ordinary differential equations. (English) Zbl 1193.65144
Summary: He’s variational iteration method (VIM) is employed to solve a system of differential equations of first order. Since every ordinary differential equations of higher order can be converted into a system of differential of the first order, this method can be used for solving most differential equations. Some examples are presented to show the ability of the method for linear and non-linear systems of differential equations. The results reveal that the method is very effective and simple.

MSC:
65L99 Numerical methods for ordinary differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations
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