Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509429 | Journal of Computational and Applied Mathematics | 2005 | 16 Pages |
Abstract
In this paper a singularly perturbed Riccati initial value problem is examined. Parameter explicit bounds on the solution and its derivatives are given. A numerical method composed of an implicit difference operator and a piecewise-uniform Shishkin mesh is constructed. A theoretical parameter independently bound on the errors in the numerical approximations is established. Numerical results are presented which are in agreement with the theoretical error bound.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M.J. O Reilly, E. O'Riordan,