Purpose: This study aims to investigate the potential of chaotic optimization algorithms in improving performance compared to other optimization methods. focusing on determining the appropriate shape parameter of radial basis functions for solving partial differential equations. Methodology: In this research. a two-stage process is employed where the Kansa method. https://www.roneverhart.com/HP-Notebook-15-da0008ca-HD-LED-15-6-Touchscreen-Intel-Core-i5-8250U-1-6-GHz-8-GB-RAM-1-TB-SSD-HDMI-USB-Multi-format-S/