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Numerical Similarity Solutions to Stefan Problems
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1975AbstractThe general similarity solution of the heat equation is used to find approximate numerical solutions of a direct Stefan problem. The constructed algorithm is shown to converge and is illustrated by numerical examples.
Milinazzo, F., Bluman, G. W.
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Similarity Solution for a Spherical Shock Wave
Journal of Applied Physics, 1955The point-source, spherical shock wave moving into a constant density γ-law gas is considered in the limit of infinite shock strength from the point of view of the Richtmyer-von Neumann viscosity technique. A similarity solution of this problem is shown to exist and is obtained for various boundary conditions with γ=1.4.
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2000
Publisher Summary This chapter presents a quasi-homogeneous partial differential equation, without considering parameters. It is shown how to find all its quasi-homogeneous (self-similar) solutions by the support of the equation with the help of Linear Algebra computations.
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Publisher Summary This chapter presents a quasi-homogeneous partial differential equation, without considering parameters. It is shown how to find all its quasi-homogeneous (self-similar) solutions by the support of the equation with the help of Linear Algebra computations.
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Some impossible similarity solutions.
AIAA Journal, 1967Kovasznay, Leslie S. G., Hall, M. G.
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Australia’s gas markets: similar problems…similar solutions?
Australian Energy Producers JournalDeclining supply and entrenched demand in all three of Australia’s domestic gas markets – the East Coast, Western Australia (WA) and the Northern Territory (NT) – is creating similar issues. We tend to think of these as essentially separate, disconnected and divided by vast swathes of land.
John Gibb, Angus Rodger, Lucy Cullen
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Local fractional similarity solution for the diffusion equation defined on Cantor sets
Applied Mathematics Letters, 2015Dumitru Baleanu, Xiao-Jun Yang
exaly

