Journal article
Approximate Solution to the Generic Initial Value Problem for Nonlinear Reaction-Diffusion Equations
SIAM journal on applied mathematics, v 26(2), pp 221-224
01 Mar 1974
Abstract
It is shown that a suitably accurate approximate generic solution to the initial value problem for the equation ∂θ/∂ t = D ∇2 θ + a θ(1 - b θn) may often be given immediately by $\theta \cong \bar\theta \equiv \frac{1}{2}(\theta_+ + \theta_-)$, where θ+ and θ- are explicitly exhibited upper and lower bounds on the exact solution.
Metrics
Details
- Title
- Approximate Solution to the Generic Initial Value Problem for Nonlinear Reaction-Diffusion Equations
- Creators
- Gerald Rosen
- Publication Details
- SIAM journal on applied mathematics, v 26(2), pp 221-224
- Publisher
- Society for Industrial and Applied Mathematics
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics
- Web of Science ID
- WOS:A1974S565200001
- Scopus ID
- 2-s2.0-0016034526
- Other Identifier
- 991020705483504721