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  • 1
    Electronic Resource
    Electronic Resource
    Numerical solution of nonlinear ordinary differential equation for a turning point problem (1990)
    Springer
    Applied mathematics and mechanics 11 (1990), S. 1055-1065 
    Details
    ISSN: 1573-2754
    Keywords: nonlinear ordinary differential equation ; turning point ; singular perturbation problem ; difference scheme ; uniform convergence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract By using the method in [3], several useful estimations of the derivatives of the solution of the boundary value problem for a nonlinear ordinary differential equation with a turning point are obtained. With the help of the technique in [4], the uniform convergence on the small parameter ε for a difference scheme is proved. At the end of this paper, a numerical example is given. The numerical result coincides with theoretical analysis.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02015689
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A singular perturbation problem for periodic boundary partial differential equation (1991)
    Springer
    Applied mathematics and mechanics 12 (1991), S. 281-290 
    Details
    ISSN: 1573-2754
    Keywords: elliptic-parabolic partial differential equation ; singular perturbation problem ; periodic boundary ; difference scheme ; uniform convergence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract In this paper, we consider a singular perturbation elliptic-parabolic partial differential equation for periodic boundary value problem, and construct a difference scheme. Using the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, we prove that the scheme constructed by this paper converges uniformly to the solution of its original problem with O(⋆+h2).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02098058
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    Paper (German National Licenses)
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  • 3
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    Acoustically levitated dancing drops: Self-excited oscillation to chaotic shedding (2016)
    American Physical Society (APS)
    Details
    Publication Date: 2016-02-09
    Description: Author(s): Po-Cheng Lin and Lin I We experimentally demonstrate self-excited oscillation and shedding of millimeter-sized water drops, acoustically levitated in a single-node standing waves cavity, by decreasing the steady acoustic wave intensity below a threshold. The perturbation of the acoustic field by drop motion is a possible … [Phys. Rev. E 93, 021101(R)] Published Fri Feb 05, 2016
    Keywords: Fluid Dynamics
    Print ISSN: 1539-3755
    Electronic ISSN: 1550-2376
    Topics: Physics
    Published by American Physical Society (APS)
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