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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    BIT 28 (1988), S. 88-97 
    ISSN: 1572-9125
    Keywords: 65L10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Recently, Chawla et al. described a second order finite difference method for the class of singular two-point boundary value problems: $$y'' + (\alpha /x)y' + f(x,y) = 0, 0〈 x〈 1, y'(0) = 0, y(1) = A, \alpha \geqslant 1.$$ No higher order finite difference method has been given so far. In the present paper we give a fourth order finite difference method for all α ≥ 1.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1435-1536
    Keywords: Key words Polyacrylamide ; Polydiallyldimethylammonium chloride ; Graft copolymer ; Random copolymer ; Microgel
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Graft (from linear homopolymers) and random (from a linear random copolymer) copolymer microgels of diallyldimethylammonium chloride (DADMAC) and acrylamide were synthesized via a free-radical mechanism using a γ-radiation technique. These copolymer microgels were evaluated as flocculants on a model dilute TiO2 colloid suspension using a turbidimeter and a disc centrifuge photosedimentometer, and their performances were compared with the linear homopolymers and their blends. It was found that microgels produced after an appropriate irradiation time showed improved flocculation behavior over their nonirradiated linear counterparts. The graft microgels performed better than the corresponding random microgels. For a γ-radiation dosage of 100 krad/h, the graft microgels obtained by irradiating a 30% DADMAC (by weight) homopolymer blend for 3 h showed the maximum reduction in the relative turbidity of the TiO2 suspension as well as the largest fraction of larger particles flocculated.
    Type of Medium: Electronic Resource
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