Analytical Approach to Differential Equations with Piecewise Continuous Arguments via Modified Piecewise Variational Iteration Method ()

Qi Wang

School of Applied Mathematics, Guangdong University of Technology, Guangzhou, China.

**DOI: **10.4236/jamp.2014.21005
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School of Applied Mathematics, Guangdong University of Technology, Guangzhou, China.

In the present article, we apply the modified piecewise variational iteration method to obtain the approximate analytical solutions of the differential equations with piecewise continuous arguments. This technique provides a sequence of functions which converges to the exact solution of the problem. Moreover, this method reduces the volume of calculations because it does not need discretization of the variables, linearization or small perturbations. The results seem to show that the method is very reliable and convenient for solving such equations.

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Wang, Q. (2014) Analytical Approach to Differential Equations with Piecewise Continuous Arguments via Modified Piecewise Variational Iteration Method. *Journal of Applied Mathematics and Physics*, **2**, 26-31. doi: 10.4236/jamp.2014.21005.

Conflicts of Interest

The authors declare no conflicts of interest.

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