Name
Title | ||
|---|---|---|
Generalized collocation method for two-dimensional reaction-diffusion problems with homogeneous Neumann boundary conditions |
Abstract | ||
|---|---|---|
Nonlinear reaction-diffusion problems are ubiquitous in science, ranging from physics to engineering, from economy to biology. In particular, in this paper two-dimensional problems with generic Dirichlet boundary conditions or homogeneous Neumann boundary conditions are focused on. To simulate this class of mathematical problems, a quite simple generalized collocation method is proposed and developed. Moreover, a test case and an application to the Schnakenberg model are described, in order to show the efficiency of the simulation method and the goodness of the numerical results. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.camwa.2008.05.041 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
nonlinear reaction-diffusion problem,homogeneous neumann boundary condition,mathematical problem,reaction-diffusion models,collocation methods,generalized collocation method,schnakenberg model,two-dimensional problems,numerical result,generic dirichlet boundary condition,paper two-dimensional problem,simulation method,nonlinear differential equations,simple generalized collocation method,test case,two-dimensional reaction-diffusion problem,neumann boundary condition,reaction diffusion,dirichlet boundary condition,collocation method | Boundary knot method,Boundary value problem,Mathematical optimization,Robin boundary condition,Mathematical analysis,Singular boundary method,Cauchy boundary condition,Neumann boundary condition,Mathematics,Regularized meshless method,Mixed boundary condition | Journal |
Volume | Issue | ISSN |
56 | 9 | Computers and Mathematics with Applications |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| R. Revelli | 1 | 6 | 1.56 |
| L. Ridolfi | 2 | 2 | 0.77 |