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    Improved Numerical Approach for Bagley–Torvik Equation Using Fractional Integral Formula and Adams–Moulton Method 

    Source: Journal of Computational and Nonlinear Dynamics:;2024:;volume( 019 ):;issue: 005:;page 51005-1
    Author(s): Jeon, Yonghyeon; Bu, Sunyoung
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, we introduce a numerical technique for solving Bagley–Torvik equations which plays an outstanding role in fractional calculus. To handle the derivatives and fractional integral in the Bagley–Torvik equations, ...
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    Linearized Fractional Adams Scheme for Fractional Allen–Cahn Equations 

    Source: Journal of Computational and Nonlinear Dynamics:;2025:;volume( 020 ):;issue: 006:;page 61001-1
    Author(s): Bu, Sunyoung; Jeon, Yonghyeon
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The objective of this work is to solve the fractional Allen–Cahn equations (ACEs) using a method that combines the modified Rubin–Graves linearization scheme and the implicit higher-order Adams–Moulton (AM) scheme to resolve ...
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    Linearized Fractional Adams Scheme for Fractional Allen–Cahn Equations 

    Source: Journal of Computational and Nonlinear Dynamics:;2025:;volume( 020 ):;issue: 006:;page 61001-1
    Author(s): Bu, Sunyoung; Jeon, Yonghyeon
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The objective of this work is to solve the fractional Allen–Cahn equations (ACEs) using a method that combines the modified Rubin–Graves linearization scheme and the implicit higher-order Adams–Moulton (AM) scheme to resolve ...
    Request PDF
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