Quarter-Sweep Arithmetic Mean iterative algorithm to solve fourth-order parabolic equations

Author

Sulaiman, J. ; Hasan, M.K. ; Othman, M. ; Yaacob, Z.

Author_Institution

Sch. of Sci. & Technol., Univ. Malaysia Sabah, Kota Kinabalu, Malaysia

Volume

01

fYear

2009

fDate

5-7 Aug. 2009

Firstpage

194

Lastpage

198

Abstract

The main purpose of this paper is to investigate the effectiveness of the quarter-sweep arithmetic Mean (QSAM) iterative method by using the implicit finite difference approximation in order to solve fourth-order parabolic equations. The basic idea and the formulation of this method are also presented. In fact, implementations of full-sweep, half-sweep, and quarter-sweep arithmetic mean methods, namely FSAM, HSAM and QSAM respectively are also shown. Finally, through numerical results obtained, it has shown that the QSAM iterative method is superior as compared with the FSAM and HSAM methods.

Keywords

approximation theory; finite difference methods; iterative methods; parabolic equations; fourth-order parabolic equation; full-sweep arithmetic mean method; half-sweep arithmetic mean method; implicit finite difference approximation; quarter-sweep arithmetic mean iterative algorithm; Chemical technology; Computer science; Difference equations; Digital arithmetic; Finite difference methods; Informatics; Information science; Iterative algorithms; Iterative methods; Partial differential equations; Fourth-Order Parabolic Equation; Implicit Scheme; Quarter-Sweep iteration; Weighted Mean Scheme;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Engineering and Informatics, 2009. ICEEI '09. International Conference on

Conference_Location

Selangor

Print_ISBN

978-1-4244-4913-2

Type

conf

DOI

10.1109/ICEEI.2009.5254791

Filename

5254791