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Biomechanical Response of Head Surrogate With and Without the Helmet
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Measurements of brain deformations under injurious loading scenarios are actively sought. In this work, we report experimentally measured head kinematics and corresponding dynamic, two-dimensional brain simulant deformations ...
Numerical Computation of a Fractional Model of Differential Difference Equation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In the present article, we apply a numerical scheme, namely, homotopy analysis Sumudu transform algorithm, to derive the analytical and numerical solutions of a nonlinear fractional differentialdifference problem occurring ...
Computational Analysis of Fractional Liénard's Equation With Exponential Memory
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The fractional model of Liénard's equations is very useful in the study of oscillating circuits. The main aim of this article is to investigate a fractional extension of Liénard's equation by using a fractional operator ...
Analysis and Fractal Dynamics of Local Fractional Partial Differential Equations Occurring in Physical Sciences
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, we implement the local fractional natural homotopy perturbation method (LFNHPM) to solve certain local fractional partial differential equations (LFPDEs) with fractal initial conditions occurring in physical ...
Analysis and Fractal Dynamics of Local Fractional Partial Differential Equations Occurring in Physical Sciences
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, we implement the local fractional natural homotopy perturbation method (LFNHPM) to solve certain local fractional partial differential equations (LFPDEs) with fractal initial conditions occurring in physical ...
An Efficient Computational Technique for Fractional Model of Generalized Hirota–Satsuma-Coupled Korteweg–de Vries and Coupled Modified Korteweg–de Vries Equations
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The aim of the present investigation to find the solution for fractional generalized Hirota–Satsuma coupled Korteweg–de-Vries (KdV) and coupled modified KdV (mKdV) equations with the aid of an efficient computational scheme, ...