Boundary values for an eigenvalue problem with a singular potential
β Scribed by Allan M Krall
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 429 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
We consider a second-order nonlinear ordinary di erential equation of the form y = 1 q xy q ; 06x Β‘ 1 where q Β‘ 0, with the boundary conditions This problem arises in boundary layer equations for the ow of a power-law uid over an impermeable, semi-inΓΏnite at plane. We show that classical iterative
The singular problem (-1) n x (2n) = f(t; x; : : : ; x (2n-2) ), x (2j) (0)=x (2j) (T )=0 (06j6n -1), max{x(t) : 0 6 t 6 T } = A depending on the parameter is considered. Here the positive CarathΓ eodory function f may be singular at the zero value of all its phase variables. The paper presents cond
By using an artiΓΏcial boundary an iteration method is designed to solve some elliptic boundary value problems with singularities. At each step of the iteration the standard ΓΏnite element method is used to solve the problems in a domain without singularities. It is shown that the iteration method is