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    Love Wave Propagation in Vertical Heterogeneous Fiber-Reinforced Stratum Imperfectly Bonded to a Micropolar Elastic Substrate 

    Source: International Journal of Geomechanics:;2018:;Volume ( 018 ):;issue: 002
    Author(s): Kaur Tanupreet;Kumar Satish;Singh Abhishek Kumar
    Publisher: American Society of Civil Engineers
    Abstract: The microstructure that lies within a continuum sometimes plays a very important role, and hence, mechanics associated with the microstructure cannot be disregarded during the study of elastodynamic problems in such a ...
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    A New Perspective for Scientific Modelling: Sparse Reconstruction-Based Approach for Learning Time-Space Fractional Differential Equations 

    Source: Journal of Computational and Nonlinear Dynamics:;2024:;volume( 019 ):;issue: 012:;page 121003-1
    Author(s): Vats, Yash; Mehra, Mani; Oelz, Dietmar; Singh, Abhishek Kumar
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper studies a sparse reconstruction-based approach to learn time–space fractional differential equations (FDEs), i.e., to identify parameter values and particularly the order of the fractional derivatives. The ...
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    High-Order Approximation to Caputo Derivative on Graded Mesh and Time-Fractional Diffusion Equation for Nonsmooth Solutions 

    Source: Journal of Computational and Nonlinear Dynamics:;2024:;volume( 019 ):;issue: 010:;page 101001-1
    Author(s): Kumari, Shweta; Singh, Abhishek Kumar; Mehandiratta, Vaibhav; Mehra, Mani
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, a high-order approximation to Caputo-type time-fractional diffusion equations (TFDEs) involving an initial-time singularity of the solution is proposed. At first, we employ a numerical algorithm based on the ...
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