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Title
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A numerical scheme for solving the time-fractional stochastic diffusion equation via orthonormal Chebyshev polynomials
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Type
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Presentation
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Keywords
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Fractional calculus, Stochastic diffusion equation, Collocation scheme, Convergence analysis.
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Abstract
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In this paper, a spectral collocation approach based on the sixth-kind Chebyshev polynomials (SKCPs) is constructed to solve a time-fractional stochastic diffusion equation (TFSDE). This method is applied to convert the solution of TFSDE to the solution of a system of nonlinear algebraic equations (NAEqs). Moreover, the convergence analysis of this suggested method is established. A numerical example is implemented to validate the efficiency of the proposed approach.
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Researchers
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ُSeddighe Banihashemi (Third Researcher), Hossein Jafari (Second Researcher), Afshin Babaei (First Researcher)
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