[02560] A Composite Adaptive Finite Point Method for 2D Burgers' Equation
Session Time & Room : 2E (Aug.22, 17:40-19:20) @E702
Type : Contributed Talk
Abstract : This paper focuses on solving the unsteady 2D Burgers equation. We present a minimal machinery algorithm based on an operator splitting technique into different temporal levels in conjunction with an adaptive finite point method (AFPM). The advisability of the AFPM is that it efficiently adjusts itself to fit into the local properties of the exact solution, and its user-friendliness makes it easy to implement and cost-effective. Mathematical estimates like stability, consistency, and convergence analysis support the presented method.