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

2008; Taylor & Francis; Volume: 87; Issue: 5 Linguagem: Inglês

10.1080/00207160802247646

1029-0265

Ahmet Yıldırım,

Nonlinear Waves and Solitons

AbstractA 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 methodnonlinear differential-difference equation2000 AMS Subject Classification:: 65L0565Q0541A58View correction statement:Correction AcknowledgementsThe author thanks TU¨BİTAK (The Scientific and Technological Research Council Of Turkey) for their financial support.