## Variational iteration method for solving a generalized pantograph equation.(English)Zbl 1189.65172

Summary: The variational iteration method is applied to solve the generalized pantograph equation. This technique provides a sequence of functions which converges to the exact solution of the problem and is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. Employing this technique, it is possible to find the exact solution or an approximate solution of the problem. Some examples are given to demonstrate the validity and applicability of the method and a comparison is made with existing results.

### MSC:

 65L99 Numerical methods for ordinary differential equations
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### References:

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