Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrِdinger equation

Multiderivative methods with minimal phase-lag are introduced in this paper, for the numerical solution of the one-dimensional Schrِdinger equation. The methods are called multiderivative since they use derivatives of order two, four or six. Numerical application of the newly introduced method to the resonance problem of the one-dimensional Schrِdinger equation shows its efficiency compared with other similar well-known methods of the literature.