He's homotopy perturbation method for nonlinear differential-difference equations

Abstract

A new scheme, deduced from He's homotopy perturbation method (HPM), is presented for solving nonlinear differential-difference equations (DDEs). A simple but typical example is applied to illustrate the validity and great potential of the generalized HPM in solving nonlinear DDE. The results reveal that the method is very effective and simple.

Keywords:

• He's homotopy perturbation method
• nonlinear differential-difference equation

2000 AMS Subject Classification::

• 65L05
• 65Q05
• 41A58

View correction statement:

Correction

Acknowledgements

The author thanks TU¨BİTAK (The Scientific and Technological Research Council Of Turkey) for their financial support.