Abdulganiy, R. IAkinfenwa, O. AOsunkayode, A. KOkunuga, S.A2023-05-292023-05-292021-05-01R. I. Abdulganiy, O. A. Akinfenwa, A. K. Osunkayode, S.A. Okunuga,A HIGHER ORDER TRIGONOMETRICALLY-FITTED METHOD FOR SECOND ORDER NONLINEAR PERIODIC PROBLEMS .Journal of Fundamental and Applied Sciences.VOL13N02.01/07/2017.university of el oued [visited in ../../….]. available from [copy the link here]ISSN 1112 9867http://dspace.univ-eloued.dz/handle/123456789/24739ArticleThis paper presents a higher order, block implicit, four step method with trigonometric coefficients constructed via multistep collocation technique. The stability properties of the method are discussed. Numerical results obtained disclose that the new method is suitable for the integration of second order nonlinear periodic problems.enCollocation Technique; Nonlinear Periodic Problems; Trigonometrically-FittedArticle