Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1221.65189
Abbasbandy, S.; Shirzadi, A.
A new application of the homotopy analysis method: solving the Sturm-Liouville problems. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 112-126 (2011). ISSN 1007-5704

Summary: The homotopy analysis method (HAM) is applied to numerically approximate the eigenvalues of the second and fourth-order Sturm-Liouville problems. These eigenvalues are calculated by starting the HAM algorithm with one initial guess. We observe that the auxiliary parameter $\hbar$, which controls the convergence of the HAM approximate series solutions, also can be used in predicting and calculating multiple solutions. This is a basic and more important qualitative difference in analysis between HAM and other methods.

MSC 2000:: *65L99 Numerical methods for ODE

Keywords: homotopy analysis method; multiple solutions; two point Sturm; Liouville problems; four point Sturm

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]