Pochhammer–Chree equation solver for dispersion correction of elastic waves in a (split) Hopkinson bar
Sign Up to like & getrecommendations! Published in 2021 at "Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science"
DOI: 10.1177/0954406220980509
Abstract: A robust algorithm for solving the Bancroft version of the Pochhammer–Chree (PC) equation is developed based on the iterative root-finding process. The formulated solver not only obtains the conventional n-series solutions but also derives a… read more here.
Keywords: series; solver; series solutions; pochhammer chree ... See more keywords
Multiple series solutions of viscous flows over a stretching/shrinking and porous sheet
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DOI: 10.2298/tsci23s1185a
Abstract: The viscous fluid-flow over a stretching (shrinking) and porous sheets of non-uniform thickness is investigated in this paper. The modeled problem is presented by utilizing the stretching/shrinking and porous velocities and variable thickness of the… read more here.
Keywords: porous sheet; series solutions; stretching shrinking; shrinking porous ... See more keywords
Lie Symmetry Analysis, Conservation Laws, Power Series Solutions, and Convergence Analysis of Time Fractional Generalized Drinfeld-Sokolov Systems
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DOI: 10.3390/sym13050874
Abstract: In this work, we investigate invariance analysis, conservation laws, and exact power series solutions of time fractional generalized Drinfeld–Sokolov systems (GDSS) using Lie group analysis. Using Lie point symmetries and the Erdelyi–Kober (EK) fractional differential… read more here.
Keywords: series solutions; time fractional; analysis; power series ... See more keywords