An Algorithm for Solving Nonlinear Differential-Difference Models

Authors:
Yasir Khan
Affiliations:
Department of Mathematics, Zhejiang University, Hangzhou, China 310027
Venue:
Computational Mathematics and Modeling
Year:
2014

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Abstract

A novel technique for numerical solution of the nonlinear differential equations arising in nanotechnology and engineering phenomena is presented in this paper. The technique is based on the application of the Laplace transform via the homotopy method to solve nonlinear differential-difference models. This method gives more reliable results as compared to other existing methods available in the literature. The numerical results demonstrate the validity and applicability of the method.