Abstract
Using the methods of mathematical analysis and computer algebra, we developed a new reliable algorithm of initial-value method for solving nonlinear singular perturbation problems. To mechanize the algorithm a MatLab procedure called IVPHZ was established. The IVPHZ can handle problems with one or two boundary layers as well as problems with an internal shock layer. Testing of the IVPHZ was made by solving numerous linear and nonlinear problems to demonstrate the implementation and efficiency of the procedure.
| Original language | English |
|---|---|
| Pages (from-to) | 31-45 |
| Number of pages | 15 |
| Journal | Applied Mathematics and Information Sciences |
| Volume | 4 |
| Issue number | 1 |
| State | Published - 2010 |
| Externally published | Yes |
Keywords
- Initial value method
- Internal layer
- One-end boundary layer
- Singular perturbation (SPPs)