A new eighth order exponentially fitted explicit Numerov-type method for solving oscillatory problems

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In this work we derive a new family of seven stages, eighth order, exponential fitted, Numerov (i.e. two-step) type methods. A particular variable coefficient method is constructed. The numerical results show that it outperforms exponential fitted two step hybrid method found in the literature sharing similar characteristics. Moreover, the presented method outperforms Numerov type methods with minimized phase-lag for problems in consideration share a non dominant linear part.