This paper deals with the Legendre wavelet (LW) collocation
method for the numerical solution of the radial Schrodinger
equation for hydrogen atom. Energy eigenvalues for the hydrogen
bound system is derived -13.6 eV. Numerical results of the ground
state modes of wave function for the hydrogen R(r) or the electron
probability density function, has been presented. The numerical
results have been compared to the other existing method and exact solution.