K.A. BelloO.A. TaiwoA. Abubakar2026-04-282026-04-282020: Picard’s successive method, Initial Value Problem, Ordinary differential equation2616-0986https://uilspace.unilorin.edu.ng/handle/123456789/17737In this paper, Picard’s successive iteration method, to obtain the numerical solution for second order initial value problem is derived. The derivation of the new method is purely based on differentiation of the general class of the problem, following the Picard’s first order iteration method steps with little modification and adjustment. The derived method is implemented on three numerical examples, and the result obtained converge positively to the exact solution as contained in literature.enArticle