عنوان
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A numerical approach to solve the stochastic Allen-Cahn equation of fractional order
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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Stochastic Allen-Cahn equation; Caputo’s derivative; Legendre polynomials; Collocation scheme
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چکیده
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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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پژوهشگران
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صدیقه بنی هاشمی (نفر دوم)، افشین بابائی (نفر اول)
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