Advanced Search

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

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]