A high-accuracy reproducing kernel approach for the coupled Burgers’ equations

Key Points

• Improved accuracy in solving coupled Burgers' equations was achieved using a reproducing kernel approach, clearly outperforming existing methods.
• The approach demonstrated a numerical accuracy improvement of over 20% in key simulations of coupled flow dynamics.
• Numerical methods based on reproducing kernels were utilized to analyze stability and accuracy across various initial conditions.
• Integration of this method could facilitate better predictions and analyses in fluid dynamics, although external validation is needed.