Computational Mathematics and Modeling

, Volume 25, Issue 1, pp 115–123 | Cite as

An Algorithm for Solving Nonlinear Differential-Difference Models


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.


numerical solution iteration method Laplace transform nonlinear differential equations 


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of MathematicsZhejiang UniversityHangzhouChina

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