  Solving Burgers' equation always poses challenge to researchers as for small
values of viscosity the analytical solution breaks down. Here we propose to
compute numerical solution for a class of generalised Burgers' equation
described as $$ \frac{\partial w}{\partial t}+ w^{\mu}\frac{\partial
w}{\partial x_{*}}=\nu w^{\delta}\frac{\partial^2 w}{\partial
x^{2}_{*}},\hspace{0.2in}a \leq x_{*}\leq b,~~t\geq 0,$$ based on the Haar
wavelet (HW) coupled with quasilinearization approach. In the process of
numerical solution, finite forward difference is applied to discretize the time
derivative, Haar wavelet to spatial derivative and non-linear term is
linearized by quasilinearization technique. To discuss the accuracy and
efficiency of the method $L_{\infty}$ and $L_{2}$-error norm are computed and
they are compared with some existing results. We have proved the convergence of
the proposed method. Computer simulations show that the present method gives
accurate and better result even for small number of grid points for small
values of viscosity.
