This paper deals with the numerical solution of boundary value problems of ordinary differential equations posed on infinite intervals. We cut the infinite interval at a finite, large enough point and insert additional, so-called asymptotic boundary conditions at the far (right) end and then solve the resulting two-point boundary value problem by an-stable symmetric collocation method. tational methods for the approximate solution of ordinary differential equations (ODEs). Only minimal prerequisites in differential and integral calculus, differential equation the- ory, complex analysis and linear algebra are assumed.

JGRC method to deal with the ordinary differential equations with initial conditions in Section 4. Next, the convergence analysis of the collocation method is investigated in Section 5. In Section 6, we give several numerical examples for testing precision of the method for the fractional Ginzburg-Landau equation in 1D and 2D. Finally, some con-