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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Published in:International journal of numerical modelling 2023-11, Vol.36 (6)
Main Authors: Eidinejad, Zahra, Saadati, Reza, Vahidi, Javad, Li, Chenkuan
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Language:English
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Basic converters
Polynomials
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Saadati, Reza
Vahidi, Javad
Li, Chenkuan
description 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.
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title Numerical solutions of 2D stochastic time‐fractional Sine–Gordon equation in the Caputo sense
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