Approximate Solution of a Neutrosophic Nonlinear Van der Pol Oscillator Problem by Semi Analytical Method Using Thick Function

George A.; Fahed; Taqi A.

doi:https://doi.org/10.54216/JNFS.060102

Full Length Article

Volume 6 • Issue 1 • PP: 14-20 • 2023

Approximate Solution of a Neutrosophic Nonlinear Van der Pol Oscillator Problem by Semi Analytical Method Using Thick Function

George A. Toma ^1*

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,

Fahed Farhood ²

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,

Taqi A. Alkhatib ²

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¹Department of fundamental sciences, Higher Institute for Applied Sciences and Technology, Aleppo, Syria

²Department of mathematics, Faculty of Science, Aleppo University, Aleppo, Syria

* Corresponding Author.

DOI https://doi.org/10.54216/JNFS.060102

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Received: October 12, 2022 Accepted: March 04, 2023

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Abstract

In this paper, an analytical method (Homotopy perturbation method HPM) is used for solving the initial value problem represented by a neutrosophic nonlinear Van der Pol oscillator equation (N-VDP) arising in applied dynamics using the thick function. We find the solutions of the (N-VDP) equation by HPM and then compare the numerical results with fourth order Runge-Kutta method (RK4). The results showed that the HPM lead to accurate and efficient results. Furthermore, these results of the HPM scheme and RK4 are implemented in Matlab.

Keywords

Neutrosophic Van der pol oscillator Neutrosophic thick function Homotopy perturbation method Nonlinear initial value problem Fourth Order Runge-Kutta Approximate solution.

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Toma, George A., Farhood, Fahed, Alkhatib, Taqi A.. "Approximate Solution of a Neutrosophic Nonlinear Van der Pol Oscillator Problem by Semi Analytical Method Using Thick Function." Journal of Neutrosophic and Fuzzy Systems, vol. Volume 6, no. Issue 1, 2023, pp. 14-20. DOI: https://doi.org/10.54216/JNFS.060102

Toma, G., Farhood, F., Alkhatib, T. (2023). Approximate Solution of a Neutrosophic Nonlinear Van der Pol Oscillator Problem by Semi Analytical Method Using Thick Function. Journal of Neutrosophic and Fuzzy Systems, Volume 6(Issue 1), 14-20. DOI: https://doi.org/10.54216/JNFS.060102

Toma, George A., Farhood, Fahed, Alkhatib, Taqi A.. "Approximate Solution of a Neutrosophic Nonlinear Van der Pol Oscillator Problem by Semi Analytical Method Using Thick Function." Journal of Neutrosophic and Fuzzy Systems Volume 6, no. Issue 1 (2023): 14-20. DOI: https://doi.org/10.54216/JNFS.060102

Toma, G., Farhood, F., Alkhatib, T. (2023) 'Approximate Solution of a Neutrosophic Nonlinear Van der Pol Oscillator Problem by Semi Analytical Method Using Thick Function', Journal of Neutrosophic and Fuzzy Systems, Volume 6(Issue 1), pp. 14-20. DOI: https://doi.org/10.54216/JNFS.060102

Toma G, Farhood F, Alkhatib T. Approximate Solution of a Neutrosophic Nonlinear Van der Pol Oscillator Problem by Semi Analytical Method Using Thick Function. Journal of Neutrosophic and Fuzzy Systems. 2023;Volume 6(Issue 1):14-20. DOI: https://doi.org/10.54216/JNFS.060102

G. Toma, F. Farhood, T. Alkhatib, "Approximate Solution of a Neutrosophic Nonlinear Van der Pol Oscillator Problem by Semi Analytical Method Using Thick Function," Journal of Neutrosophic and Fuzzy Systems, vol. Volume 6, no. Issue 1, pp. 14-20, 2023. DOI: https://doi.org/10.54216/JNFS.060102

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