On the Numerical Solution of Fractional Hyperbolic Partial Differential Equations. (8th September 2009)

• Record Type: Journal Article
• Authors: Ashyralyev, Allaberen; Dal, Fadime; Pinar, Zehra
• Other Names: Gonçalves Paulo Batista Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2009(2009)
• Publication Date: 2009-09-08
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2009/730465
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The stable difference scheme for the numerical solution of the mixed problem for the multidimensional fractional hyperbolic equation is presented. Stability estimates for the solution of this difference scheme and for the first and second orders difference derivatives are obtained. A procedure of modified Gauss elimination method is used for solving this difference scheme in the case of one-dimensional fractional hyperbolic partial differential equations.