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    A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and Oscillatory Plates 

    Source: Journal of Computational and Nonlinear Dynamics:;2022:;volume( 017 ):;issue: 007:;page 71008-1
    Author(s): Nawaz; Yasir;Arif; Muhammad Shoaib;Abodayeh; Kamaleldin
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A fractional scheme is proposed to solve time-fractional partial differential equations. According to the considered fractional Taylor series, the scheme is compact in space and provides fourth-order accuracy in space and ...
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    Unconditionally Stable Numerical Scheme for Heat Transfer of Mixed Convective Darcy–Forchheimer Flow of Micropolar Fluid Over Oscillatory Moving Sheet 

    Source: Journal of Computational and Nonlinear Dynamics:;2023:;volume( 018 ):;issue: 004:;page 41006-1
    Author(s): Nawaz, Yasir; Arif, Muhammad Shoaib; Abodayeh, Kamaleldin
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This contribution proposes a third-order numerical scheme for solving time-dependent partial differential equations (PDEs). This third-order scheme is further modified, and the new scheme is obtained with second-order ...
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    A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study 

    Source: Journal of Computational and Nonlinear Dynamics:;2022:;volume( 017 ):;issue: 010:;page 101004-1
    Author(s): Nawaz; Yasir;Arif; Muhammad Shoaib;Abodayeh; Kamaleldin
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A third-order numerical scheme is proposed for solving fractional partial differential equations (PDEs). The first explicit stage can converge fast, and the second implicit stage is responsible for enlarging the stability ...
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