Extension of Picard’s Successful Iteration Method to Numerical Solution of Second Order Initial Value Problem
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Date
2020
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Faculty of Natural Sciences, Ibrahim Badamasi Babangida University, Lapai, Niger State, Nigeria
Abstract
In 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.
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: Picard’s successive method, Initial Value Problem, Ordinary differential equation