Numerical Solution of Delay Differential Equations Using Legendre Wavelet Method

Abstract

The purpose of this paper is to solve delay differential equations (DDEs) using Legendre wavelet method (LWM). The orthonormality of the basis functions using in this method is the main characteristic behind it to decreas the volume of computations and runtime of its algorithm. We state some concepts, properties and advantages of LWM and its applications for solving DDEs. Some illustrative numerical experiments including linear and nonlinear DDEs are given and some comparisons are made between LWM and variational iteration method [1], Adomian decomposition method [2] and homotpy perturbation method [3] to illustrate the validity and efficiency of the proposed method.

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Cite this paper

@inproceedings{Hafshejani2013NumericalSO, title={Numerical Solution of Delay Differential Equations Using Legendre Wavelet Method}, author={M. Sadeghi Hafshejani and S. Karimi Vanani}, year={2013} }