A stair Laguerre pseudospectral method is proposed for numerical solutions of differential equations on the half line. Some approximation results are established. A stair Laguerre pseudospcetral scheme is constructed for a model problem. The convergence is proved. The numerical results show that this new method provides much more accurate numerical results than the standard Laguerre spectral method.
['Li-Lian Wang', 'Ben-Yu Guo']
Stair Laguerre pseudospectral method for differential equations on the half line