A New Block Integrator for Second Order Initial Value Problems

Volume 20 No 17 (2022)

O. M. Ogunlaran, M. A. Kehinde

DOI: 10.48047/NQ.2022.20.17.NQ880251

Abstract

A 4-step block integrator using Hermite polynomial as basis function for the solution of general second-order initial value problems is developed through interpolation and collocation procedures. The consistency, stability and convergence characteristics of the proposed methods are examined. Some linear and nonlinear test problems in literature are used for the numerical experimentation and the results obtained show the superiority of the method in comparison with some existing methods.

Keywords

Collocation, interpolation, basis polynomial, block method, second order initial value problems.

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