TITLE:
Analytical Approach to Differential Equations with Piecewise Continuous Arguments via Modified Piecewise Variational Iteration Method
AUTHORS:
Qi Wang
KEYWORDS:
Delay Differential Equations; Piecewise Continuous Arguments; Variational Iteration Method; Approximation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.1,
January
9,
2014
ABSTRACT: 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.