Olayemi Obafaiye - Academia.edu (original) (raw)

Olayemi Obafaiye

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Papers by Olayemi Obafaiye

Research paper thumbnail of Numerical Approximation of Oscillatory Initial Value Problems Using the Homotopy Analysis Algorithm

Fudma Journal of Sciences, Apr 30, 2023

In this paper, we present numerical approximation for oscillatory initial value problems (IVPs) u... more 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.

Research paper thumbnail of Numerical Approximation of Oscillatory Initial Value Problems Using the Homotopy Analysis Algorithm

FUDMA JOURNAL OF SCIENCES, 2023

In this paper, we present numerical approximation for oscillatory initial value problems (IVPs) u... more 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.

Research paper thumbnail of Numerical Approximation of Oscillatory Initial Value Problems Using the Homotopy Analysis Algorithm

Fudma Journal of Sciences, Apr 30, 2023

In this paper, we present numerical approximation for oscillatory initial value problems (IVPs) u... more 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.

Research paper thumbnail of Numerical Approximation of Oscillatory Initial Value Problems Using the Homotopy Analysis Algorithm

FUDMA JOURNAL OF SCIENCES, 2023

In this paper, we present numerical approximation for oscillatory initial value problems (IVPs) u... more 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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