International Journal of Neutrosophic Science

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Volume 25 , Issue 3 , PP: 25-36, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

On The Numerical Solutions of the Neutrosophic One-Dimensional Sine-Gordon System

Raed Hatamleh 1 *

  • 1 Department of Mathematics, Faculty of Science and Information Technology, Jadara University, P.O. Box 733, Irbid 21110, Jordan - (raed@jadara.edu.jo)
  • Doi: https://doi.org/10.54216/IJNS.250303

    Received: February 7, 2024 Revised: May 5, 2024 Accepted: September 10, 2024
    Abstract

    This paper uses finite difference methods to study the numerical solution for neutrosophic Sine-Gordon system in one dimension. We use the explicit method and Crank-Nicholson method. Also, an effective comparison between the results of the two methods has been made, where we obtain the result that Crank-Nicholson method is more accurate than the explicit method, but the explicit method is easier. We also study the stability analysis for each method by using Fourier (Von-Neumann) method and get that Crank-Nicholson method is unconditionally stable while the Explicit method is stable under the condition 𝑟2≤1𝑐2 and 𝑟2≤1.

    Keywords :

    Neutrosophic Sine-Gordon system , Crank-Nicholson method , Fourier (Von-Neumann) method , Nonlinear differential equations

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    Cite This Article As :
    Hatamleh, Raed. On The Numerical Solutions of the Neutrosophic One-Dimensional Sine-Gordon System. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 25-36. DOI: https://doi.org/10.54216/IJNS.250303
    Hatamleh, R. (2025). On The Numerical Solutions of the Neutrosophic One-Dimensional Sine-Gordon System. International Journal of Neutrosophic Science, (), 25-36. DOI: https://doi.org/10.54216/IJNS.250303
    Hatamleh, Raed. On The Numerical Solutions of the Neutrosophic One-Dimensional Sine-Gordon System. International Journal of Neutrosophic Science , no. (2025): 25-36. DOI: https://doi.org/10.54216/IJNS.250303
    Hatamleh, R. (2025) . On The Numerical Solutions of the Neutrosophic One-Dimensional Sine-Gordon System. International Journal of Neutrosophic Science , () , 25-36 . DOI: https://doi.org/10.54216/IJNS.250303
    Hatamleh R. [2025]. On The Numerical Solutions of the Neutrosophic One-Dimensional Sine-Gordon System. International Journal of Neutrosophic Science. (): 25-36. DOI: https://doi.org/10.54216/IJNS.250303
    Hatamleh, R. "On The Numerical Solutions of the Neutrosophic One-Dimensional Sine-Gordon System," International Journal of Neutrosophic Science, vol. , no. , pp. 25-36, 2025. DOI: https://doi.org/10.54216/IJNS.250303