Authors : A.A. Dahalan, N.S.A. Aziz and J. Sulaiman
Abstract: In this study, system of linear equation is solved by using iterative method which is family of Alternating Group Explicit (AGE) generated from discretization of two point Fuzzy Boundary Value Problem (FBVPs). In addition, to that the fuzzy linear system has been solved iteratively by using Gauss-Seidel (GS), Full-Sweep AGE (FSAGE), Hall-Sweep AGE (HSAGE) and Quarter-Sweep AGE (QSAGE). Then numerical experiments are carried out onto two examples to verify the effectiveness of the method. Results show that the QSAGE method is superior than the other three methods in terms of execution time, number of iterations and Hausdorff distance.
A.A. Dahalan, N.S.A. Aziz and J. Sulaiman, 2017. QSAGE Iterative Method For The Numerical Solution of Two-Point Fuzzy Boundary Value Problem. Journal of Engineering and Applied Sciences, 12: 4068-4074.