Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation. (English) Zbl 1063.65067
Summary: Multiderivative methods with minimal phase-lag are introduced, for the numerical solution of the one-dimensional Schrödinger 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 Schrödinger equation shows its efficiency compared with other similar well-known methods of the literature.
MSC:
| 65L10 | Numerical solution of boundary value problems involving ordinary differential equations |
| 34B05 | Linear boundary value problems for ordinary differential equations |
Keywords:
Multiderivative methods; Phase-lag; Dispersion; Stability; Schrödinger equation; Numerical examplesReferences:
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