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Wavelet Collocation Methods for Solving Neutral Delay Differential Equations
  • Mo Faheem,
  • Akmal Raza,
  • Arshad Khan
Mo Faheem
Jamia Millia Islamia Central University
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Akmal Raza
Jamia Millia Islamia Central University
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Arshad Khan
Jamia Millia Islamia
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Abstract

In this paper we proposed wavelet based collocation methods for solving neutral delay differential equations. We use Legendre wavelet, Hermite wavelet, Chebyshev wavelet and Laguerre wavelet to solve the neutral delay differential equations numerically. We solve five linear and one nonlinear problem to demonstrate the accuracy of wavelet series solution. Wavelet series solution converges fast and gives more accurate results in comparison to other methods present in literature. We compare our results with Runge-Kutta-type methods by Wang et al. [1] and one-leg θ methods by Wang et al. [2] and observe that our results are more accurate.