# NUMERICAL SOLUTION TO SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION BY ITERATIVE DECOMPOSITION APPROXIMATION TECHNIQUE

## Keywords:

Accuracy, Approximation, Iterative decomposition, Differential equation## Abstract

In this paper, we consider finding appropriate solution to nonlinear initial/boundary value problems. The numerical algorithm based on the iterative decomposition technique is applied to obtain analytic and approximate solution of such differential equation. No linearization nor perturbation is involved in obtaining the components of the power series solution that converges rapidly. Numerical examples are presented to elucidate the suitability, accuracy and efficiency of the new scheme.

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*The Transactions of the Nigerian Association of Mathematical Physics*,

*17*, 61 –66. https://nampjournals.org.ng/index.php/tnamp/article/view/191