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The Scientific World Journal
Volume 2014, Article ID 631416, 6 pages
Research Article

Analytical Approximate Solutions for a General Class of Nonlinear Delay Differential Equations

Department of Mathematics, “Politehnica” University of Timişoara, Piaţa Victoriei 2, 300006 Timişoara, Romania

Received 12 June 2014; Accepted 9 July 2014; Published 24 July 2014

Academic Editor: Dumitru Baleanu

Copyright © 2014 Bogdan Căruntu and Constantin Bota. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We use the polynomial least squares method (PLSM), which allows us to compute analytical approximate polynomial solutions for a very general class of strongly nonlinear delay differential equations. The method is tested by computing approximate solutions for several applications including the pantograph equations and a nonlinear time-delay model from biology. The accuracy of the method is illustrated by a comparison with approximate solutions previously computed using other methods.