New methods of computation for coupled channel equations

New methods for solving Schrِdinger wave equations in coupled channels have been worked out by studying the traditional recurrence relations of wave functions. In these methods, the relations of the relative coefficients for the wave functions with neighboring points are used. The operation for the inverse of a matrix is avoided. The truncation error does not depend on the behavior of the interacting potential matrix which may have been a problem in the traditional methods. The amount of computation needed in the new recurrence is estimated to be lower than a half of that in all the other methods.