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.