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Numerical methods for reaction-diffusion problems with non-differentiable kinetics (1988)

Aziz, A. K. ; Stephens, A. B. ; Suri, Manil

Springer

Numerische Mathematik 53 (1988), S. 1-11

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ISSN: 0945-3245

Keywords: AMS(MOS):65N30 ; 35J65 ; CR: G1.8

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary We consider a class of steady-state semilinear reaction-diffusion problems with non-differentiable kinetics. The analytical properties of these problems have received considerable attention in the literature. We take a first step in analyzing their numerical approximation. We present a finite element method and establish error bounds which are optimal for some of the problems. In addition, we also discuss a finite difference approach. Numerical experiments for one- and two-dimensional problems are reported.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01395875

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