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

作者：Ahmet Yıldırım · 发表于：International Journal of Computer Mathematics · 年份：2008 · DOI：10.1080/00207160802247646 · 被引用次数：63 · 研究领域：Fractional Differential Equations Solutions、Iterative Methods for Nonlinear Equations、Nonlinear Waves and Solitons

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.