Solving heat equations using extended B-spline alternating group explicit

摘要

In this paper, Extended B-Spline Alternating Group Explicit (ExtBSPAGE) iterative method is proposed to solve one- dimensional diffusion equation which is the heat conduction equation. The Alternating Group Explicit (AGE) iterative method is derived from the cubic Extended B-Spline collocation technique. We only consider the stationary case with odd number of points with even number of interval for both time and space dimension. The comparison will be made based on AGE, Cubic B-Spline Alternating Group Explicit (BSPAGE), ExtBSPAGE iterative method and the exact solution.