✦ LIBER ✦
A monotone iterative technique for solution of pth order (p < 0) reaction-diffusion problems in permeable catalysis
✍ Scribed by W. L. Perry
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 367 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0192-8651
No coin nor oath required. For personal study only.
✦ Synopsis
The problem of determining the amount of reactant present in the steady state of a reaction-diffusion problem with p t h order reaction kinetics and slab geometry can be achieved by solving the boundary value problem
where u is a normalized (dimensionless) concentration, and $I is the Thiele modulus. By considering the related nonlinear eigenvalue problem y"(x) = XyP(x),
and constructing a sequence of functions that converges monotonically to y(n), solutions of the original boundary value problem are obtained for the negative exponent case.