Half-sweep two parameter alternating group explicit iterative method applied to fuzzy Poisson equation

Abstract

Iterative methods particularly the Two Parameter Alternating Group Explicit (TAGE) methods are used to solve system of linear equations generated from the discretization of two-point fuzzy boundary value problems (FBVPs). The formulation and implementation of the Full-Sweep TAGE (FSTAGE) and Half-Sweep TAGE (HSTAGE) methods are also presented. Then numerical experiments are carried out onto two example problems to verify the effectiveness of the method. The results show that TAGE method is superior compare to AGE method in the aspect of number of iterations, execution time and Hausdorff distance.

Robot pathfinding with obstacle avoidance capabilities in a static indoor environment via TOR iterative method using harmonic potentials

“…The results of this paper can essentially be categorized as a family of full-sweep iterations. In addition to the concept of full-sweep iteration, advance research on half-sweep [13,14] and quarter-sweep [15] iterations will improve the convergence rate of the suggested standard iterative methods.…”

Path Finding of Static Indoor Mobile Robot via Aor Iterative Method Using Harmonic Potentials

“…The results of this paper can essentially be categorized as family of full-sweep iterations. In addition to the full-sweep iteration concept, further analysis on half-sweep [15,[18][19][20][21] and quarter-sweep [22][23][24][25] iterations can be also considered with a view to speeding up the convergence rate of the standard proposed iterative methods.…”