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  • Quasilinearization methods  (1)
  • Travelling fronts  (1)
  • 1
    Electronic Resource
    Electronic Resource
    A numerical study of the Belousov-Zhabotinskii reaction using Galerkin finite element methods (1983)
    Springer
    Journal of mathematical biology 16 (1983), S. 251-260 
    Details
    ISSN: 1432-1416
    Keywords: Travelling fronts ; Parabolic system ; Galerkin finite element methods ; Wave speeds
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The Belousov-Zhabotinskii reaction has been modelled by Field and Noyes [5] as a pair of nonlinear parabolic equations. Previous studies of these, both theoretical and numerical, have assumed wave solutions travelling with constant velocity leading to a simplification of the mathematical model in the form of a system of ordinary differential equations. In the present study a finite element Galerkin method is used directly on the original parabolic system for a range of parameter values.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00276505
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  • 2
    Electronic Resource
    Electronic Resource
    Method of quasilinearization and positivity of solutions in abstract cones (1977)
    Springer
    Journal of optimization theory and applications 22 (1977), S. 353-372 
    Details
    ISSN: 1573-2878
    Keywords: Quasilinearization methods ; abstract spaces ; differential equations ; inequality theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, the method of quasilinearization is extended to differential equations in Banach spaces using abstract cones. Frequently, it is useful to apply this technique to a comparison system. Several applications are given indicating the flexibility obtained by appropriate choice of the comparison system and cone.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00932860
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