R. Abdulganiy, O. Akinfenwa, A. K. Osunkayode, S. A. Okunuga
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A HIGHER ORDER TRIGONOMETRICALLY-FITTED METHOD FOR SECOND ORDER NONLINEAR PERIODIC PROBLEMS
This paper present a higher order, block implicit, four step method with trigonometric coefficients constructed via multistep collocation technique. The stability properties of the method is discussed. Numerical results obtained disclose that the new method is suitable for the integration of second order nonlinear periodic problems.