# NUMERICAL APPROXIMATION OF OSCILLATORY INITIAL VALUE PROBLEMS USING THE HOMOTOPY ANALYSIS ALGORITHM

• Olayemi Obafaiye Federal university lokoja
• Sunday O. Imoni
• David I. Lanlege
Keywords: Numerical Analysis, Initial Value Problems, Differential Equations, Homotopy Analysis

### Abstract

In this paper, we present numerical approximation for oscillatory initial value problems (IVPs) using the homotopy analysis algorithm. The convergence of the method is discussed and numerical experiments are presented to illustrate the computational effectiveness of the algorithm. The results obtained are in good agreement with the exact solutions and Adomian decomposition method (ADM). These results show that the algorithm introduced here is easy to apply without linearization.

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Published
2023-04-30
How to Cite
ObafaiyeO., Imoni S. O., & Lanlege D. I. (2023). NUMERICAL APPROXIMATION OF OSCILLATORY INITIAL VALUE PROBLEMS USING THE HOMOTOPY ANALYSIS ALGORITHM. FUDMA JOURNAL OF SCIENCES, 7(2), 227 - 234. https://doi.org/10.33003/fjs-2023-0702-1743
Section
Research Articles