A Review: Differential Transform Method for Semi-Analytical Solution of Differential Equations
International Journal of Applied Mechanics and Engineering, 2020 In this article, the semi-analytical method known as the Differential Transform Method (DTM) for solving different types of differential equations is reviewed.
M.M. Rashidi +3 more
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Asymmetrical PZT applied to active reduction of asymmetrically vibrating beam – semi-analytical solution [PDF]
Archives of Acoustics, 2022 The article extended the idea of active vibration reduction of beams with symmetric modes to beams with asymmetric modes. In the case of symmetric modes, the symmetric PZT (s-PZT) was used, and the optimization of the problem led to the location of the s-
Adam Brański, Romuald Kuras
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Nonlinear analysis of Euler beams resting on a tensionless soil with arbitrary configurations
Beni-Suef University Journal of Basic and Applied Sciences, 2022 Background The nonlinear interaction between an elastic Euler beam and a tensionless soil foundation is studied. The exact analytical solutions of the nonlinear problem are rather complicated.
Heba Abdelfatah +2 more
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Semi-analytical solution to one-dimensional consolidation of double-layered unsaturated ground
Yantu gongcheng xuebao, 2022 Combining the one-dimensional (1D) consolidation theory of unsaturated soils proposed by Fredlund and Hasan and the interfacial continuity conditions during the consolidation, the 1D consolidation model for a double-layered unsaturated ground is obtained
LI Lin-zhong , QIN Ai-fang , JIANG Liang-hua
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A Semi-Analytical Approach for the Approximate Solution of Casting-Mould Heterogeneous System [PDF]
Computational Algorithms and Numerical Dimensions, 2022 In this work, we study the Variational Iteration Method (VIM) accompanied by He's polynomials for obtaining the solution of the temperature distribution in the casting-mould heterogeneous system with fractional order.
Muhammad Nadeem
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Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows [PDF]
, 2012 Analytical solution for the axi-symmetrical lattice Boltzmann model is obtained for the low-Mach number cylindrical Couette flows. In the hydrodynamic limit, the present solution is in excellent agreement with the result of the Navier-Stokes equation ...
An, Hongyan +3 more
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Space-time numerical simulation and validation of analytical predictions for nonlinear forced dynamics of suspended cables [PDF]
, 2008 This paper presents space-time numerical simulation and validation of analytical predictions for the finite-amplitude forced dynamics of suspended cables.
Rega, Giuseppe, Srinil, Narakorn
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Dynamic Penetration Process of Torpedo Anchors into Sand Foundation
Journal of Marine Science and Engineering, 2022 Torpedo anchors are a new type of anchoring system in deepwater that is much more economical than conventional anchoring methods. The dynamic penetration process is vitally important to the installation of torpedo anchors.
Gang Li +4 more
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A semi-analytical solution for multilayer diffusion in a composite medium consisting of a large number of layers [PDF]
, 2016 Diffusion in a composite slab consisting of a large number of layers provides an ideal prototype problem for developing and analysing two-scale modelling approaches for heterogeneous media.
Turner, Ian William, Carr, Elliot Joseph
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Accurate computational simulations of perturbed Chen–Lee–Liu equation
Results in Physics, 2023 This research aims to look into alternative unique solitary wave solutions to the perturbed Chen–Lee–Liu (CLL) equation to explain the kinetic and physical aspects of an optical fiber pulse.
Mostafa M.A. Khater +2 more
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