𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Numerical simulation of reaction–diffusion equations on spherical domains

✍ Scribed by Faridon Amdjadi


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
416 KB
Volume
13
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.

✦ Synopsis


The two-variable reaction diffusion equations on the spherical domain is considered and simulated, using the semiimplicit Euler finite difference method. It is shown that the method keeps the kinetics from overshooting the stable branches when a large time step is used in the simulation.


📜 SIMILAR VOLUMES


Reliable numerical schemes for a linear
✍ Pius W.M. Chin; Jules K. Djoko; Jean M.-S. Lubuma 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 475 KB

The solution of a linear reaction-diffusion equation on a non-convex polygon is proved to be globally regular in a suitable weighted Sobolev space. This result is used to design an optimally convergent Fourier-Finite Element Method (FEM) where the mesh size is suitably refined. Furthermore, the coup

A study of moving mesh PDE methods for n
✍ Weizhang Huang; Jingtang Ma; Robert D. Russell 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 422 KB

A new concept called the dominance of equidistribution is introduced for analyzing moving mesh partial differential equations for numerical simulation of blowup in reaction diffusion equations. Theoretical and numerical results show that a moving mesh method works successfully when the employed movi

A review of some numerical methods for r
✍ J.I Ramos 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 995 KB

Some fixed-node finite-difference schemes and a finite element method are applied to a reaction-diffusion equation which has an exact traveling wave solution. The accuracy of the methods is assessed in terms of the computed steady state wave speed which is compared with the exact speed. The finite e