摘要：In this work, a pair of embedded explicit exponentially-fitted Runge–Kutta–Nyström methods is formulated for solving special second-order ordinary differential equations (ODEs) with periodic solutions. A variable step-size technique is used for the derivation of the 5(3) embedded pair, which provides a cheap local error estimation. The numerical results obtained signify that the new adapted method is more efficient and accurate compared with the existing methods.
关键词：exponentially-fitted method; Runge–Kutta–Nyström; periodic problems; initial value problems exponentially-fitted method ; Runge–Kutta–Nyström ; periodic problems ; initial value problems
