Numerical solutions of 2D stochastic time‐fractional Sine–Gordon equation in the Caputo sense

We study the two‐dimensional stochastic time‐fractional Sine–Gordon equation (2D ST‐FS‐G) and provide a solution for it. We use the new clique polynomial method to obtain a numerical solution to the 2D TFS‐G equation. In this technique, the clique polynomial is considered as a basic function for ope...

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Bibliographic Details
Published in:International journal of numerical modelling 2023-11, Vol.36 (6)
Main Authors: Eidinejad, Zahra, Saadati, Reza, Vahidi, Javad, Li, Chenkuan
Format: Article
Language:English
Subjects:
Basic converters
Polynomials
Online Access:Get full text
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Summary:We study the two‐dimensional stochastic time‐fractional Sine–Gordon equation (2D ST‐FS‐G) and provide a solution for it. We use the new clique polynomial method to obtain a numerical solution to the 2D TFS‐G equation. In this technique, the clique polynomial is considered as a basic function for operational matrices. By converting the 2D ST‐FS‐G equation to algebraic equations, a solution is obtained for the desired equation, which clearly shows that this approach is suitable and accurate for dealing with the equation. We further present the error boundary for the obtained approximation of the desired three‐variable function based on the clique polynomial. Finally, we compare some numerical results obtained with the exact ones by a few practical examples.
ISSN:0894-3370
1099-1204
DOI:10.1002/jnm.3121