Domain decomposition for spectral approximation of the layer solution


Nevenka Adžić




The boundary layer problems described by the second order differential equation with the small parameter multiplying the highest derivative are considered. For nonselfadjoint, selfadjoint and some turning point problems the domain decomposition is performed, based on the asymptotic behavior of the exact solution. The decomposition depends on the degree of the truncated orthogonal series which approximates the exact solution inside the layer.