Title :
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
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;
Conference_Titel :
Electrical Engineering and Informatics, 2009. ICEEI '09. International Conference on
Conference_Location :
Selangor
Print_ISBN :
978-1-4244-4913-2
DOI :
10.1109/ICEEI.2009.5254791
