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Title
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A numerical approach to solve the stochastic Allen-Cahn equation of fractional order
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Type
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JournalPaper
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Keywords
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Stochastic Allen-Cahn equation; Caputo’s derivative; Legendre polynomials; Collocation scheme
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Abstract
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In this paper, we employ a collocation method based on Legendre polynomials (LPs) to solve the time-fractional stochastic Allen-Cahn equation. This method is applied to convert the solution of this stochastic equation to the solution of a nonlinear system of algebraic equations. The numerical approach is completely described. Finally, a test example is implemented to validate the robustness of the proposed scheme.
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Researchers
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ُSeddighe Banihashemi (Second Researcher), Afshin Babaei (First Researcher)
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