Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472082 | Computers & Mathematics with Applications | 2015 | 16 Pages |
Abstract
We consider a transport equation with mixed boundary conditions (Dirichlet and Neumann) originating in a neuronal model. This equation contains point-wise delay and advanced argument. The objective of this paper is to construct and analyze higher order MUSCL scheme to find a numerical solution. The developed scheme is stable and convergent. The importance of this scheme is that it is valid for large as well as for small values of point-wise delay and advance. Some test examples are included to examine the behavior of the solution and to verify the order of convergence. The effect of point-wise delay and advance arguments on the solution is shown graphically.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Santosh Kumar, Paramjeet Singh,