Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1148.65100
Odibat, Zaid M.; Momani, Shaher
Approximate solutions for boundary value problems of time-fractional wave equation. (English)
[J] Appl. Math. Comput. 181, No. 1, 767-774 (2006). ISSN 0096-3003

Summary: We implement relatively a new analytical technique, the Adomian decomposition method, for solving the boundary value problems of time-fractional wave equation. The fractional derivative is described in the Caputo sense. The decomposition method is used to construct analytical approximate solutions of time-fractional wave equation subject to specified boundary conditions. The solutions are calculated in the form of a convergent series with easily computable components. Some examples are given. The results reveal that the Adomian method is very effective and convenient.

MSC 2000:: *65R20 Integral equations (numerical methods)
45K05 Integro-partial differential equations
65M70 Spectral, collocation and related methods (IVP of PDE)
26A33 Fractional derivatives and integrals (real functions)
35L05 Wave equation

Keywords: Adomian decomposition method; time-fractional wave equation; Caputo fractional derivative; Mittag-Leffler function; numerical examples

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]