Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1181.65108
Yao, Huanmin; Lin, Yingzhen
Solving singular boundary-value problems of higher even-order.
(English)
[J] J. Comput. Appl. Math. 223, No. 2, 703-713 (2009). ISSN 0377-0427

Under the assumption that the unique solution exists, the authors are concerned with a new algorithm for singular boundary value problems of six-order as follows $$u^{(6)}(x)+a(x)u^{(4)}(x)+ b(x)u''(x)+c(x)u(x)=f(x),$$ $$0<x<1,\quad u^{(2k)}(0)=u^{(2k)}(1)=0,\quad k=0,1,2.$$ A significant method based on the theory of numerical analysis in reproducing kernel space $W^7_2[0,1]$ is described. A numerical example is presented.
[Pavol Chocholatý (Bratislava)]
MSC 2000:
*65L10 Boundary value problems for ODE (numerical methods)
34B05 Linear boundary value problems of ODE
46E22 Hilbert spaces with reproducing kernels

Keywords: singular boundary-value problem of higher even-order; reproducing kernel space; numerical example

Highlights
Master Server

### Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences