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Journal of Neutrosophic and Fuzzy Systems

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Journal of Neutrosophic and Fuzzy Systems

Volume 6 , Issue 1 , PP: 14-20, 2023 | Cite this article as | XML | Html | PDF

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

George A. Toma 1 * , Fahed Farhood 2 , Taqi A. Alkhatib 3

  • 1 Department of fundamental sciences, Higher Institute for Applied Sciences and Technology, Aleppo, Syria - (george.toma@hiast.edu.sy)
  • 2 Department of mathematics, Faculty of Science, Aleppo University, Aleppo, Syria - (fhmath@yahoo.com)
  • 3 Department of mathematics, Faculty of Science, Aleppo University, Aleppo, Syria - (taaaqimath@gmail.com)

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

    Received: October 12, 2022 Accepted: March 04, 2023
    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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    Cite This Article As :
    George A. Toma, Fahed Farhood, Taqi A. Alkhatib. "Approximate Solution of a Neutrosophic Nonlinear Van der Pol Oscillator Problem by Semi Analytical Method Using Thick Function." Full Length Article, Vol. 6, No. 1, 2023 ,PP. 14-20 (Doi   :  https://doi.org/10.54216/JNFS.060102)
    George A. Toma, Fahed Farhood, Taqi A. Alkhatib. (2023). Approximate Solution of a Neutrosophic Nonlinear Van der Pol Oscillator Problem by Semi Analytical Method Using Thick Function. Journal of , 6 ( 1 ), 14-20 (Doi   :  https://doi.org/10.54216/JNFS.060102)
    George A. Toma, Fahed Farhood, Taqi A. Alkhatib. "Approximate Solution of a Neutrosophic Nonlinear Van der Pol Oscillator Problem by Semi Analytical Method Using Thick Function." Journal of , 6 no. 1 (2023): 14-20 (Doi   :  https://doi.org/10.54216/JNFS.060102)
    George A. Toma, Fahed Farhood, Taqi A. Alkhatib. (2023). Approximate Solution of a Neutrosophic Nonlinear Van der Pol Oscillator Problem by Semi Analytical Method Using Thick Function. Journal of , 6 ( 1 ), 14-20 (Doi   :  https://doi.org/10.54216/JNFS.060102)
    George A. Toma, Fahed Farhood, Taqi A. Alkhatib. Approximate Solution of a Neutrosophic Nonlinear Van der Pol Oscillator Problem by Semi Analytical Method Using Thick Function. Journal of , (2023); 6 ( 1 ): 14-20 (Doi   :  https://doi.org/10.54216/JNFS.060102)
    George A. Toma, Fahed Farhood, Taqi A. Alkhatib, Approximate Solution of a Neutrosophic Nonlinear Van der Pol Oscillator Problem by Semi Analytical Method Using Thick Function, Journal of , Vol. 6 , No. 1 , (2023) : 14-20 (Doi   :  https://doi.org/10.54216/JNFS.060102)

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