Abstract
Semilinear reaction-diffusion two-point boundary value problems with multiple solutions are considered. Here the second-order derivative is multiplied by a small positive parameter and consequently these solutions can have boundary or interior layers. A survey is given of the results obtained in our recent investigations into the numerical solution of these problems on layer-adapted meshes.
Original language | English |
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Pages (from-to) | 857-864 |
Number of pages | 8 |
Journal | Computers and Mathematics with Applications |
Volume | 51 |
Issue number | 5 SPEC. ISS. |
DOIs | |
Publication status | Published - Mar 2006 |
Keywords
- Boundary layer
- Interior transition layer
- Layer-adapted mesh
- Nonlinear
- Reaction-diffusion