Volume 25 , Issue 3 , PP: 25-36, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Raed Hatamleh 1 *
Doi: https://doi.org/10.54216/IJNS.250303
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.
Neutrosophic Sine-Gordon system , Crank-Nicholson method , Fourier (Von-Neumann) method , Nonlinear differential equations
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