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  1. No Access

    Article

    Application of Pell collocation method for solving the general form of time-fractional Burgers equations

    This paper provides a fruitful and effective spectral scheme based on the two-dimensional Pell collocation method for treating of nonlinear time-fractional Burgers equations with variable coefficients. The fra...

    M. Taghipour, H. Aminikhah in Mathematical Sciences (2023)

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    Article

    A fast collocation method for solving the weakly singular fractional integro-differential equation

    In the present paper, we propose a spectral collocation method based on Pell polynomials to obtain the solution of a variable-order fractional integro-differential equation with a weakly singular kernel. Fract...

    M. Taghipour, H. Aminikhah in Computational and Applied Mathematics (2022)

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    Article

    An Efficient Non-standard Finite Difference Scheme for Solving Distributed Order Time Fractional Reaction–Diffusion Equation

    In this article, a nonstandard finite difference scheme is proposed for solving the distributed order time-fractional reaction–diffusion equation. In this equation, the time-fractional derivative is defined in...

    M. Taghipour… in International Journal of Applied and Computational Mathematics (2022)