An innovative meshless approach for solving 2D Allen-Cahn equations using the RBF-compact finite difference method

Key Points

• This innovative method enhances the solution accuracy for allen-cahn equations, effectively addressing complex boundary conditions.
• Significantly, the rbf-compact finite difference method reported a reduction in numerical dispersion.
• The approach utilizes a meshless technique to simplify computations in two dimensions, facilitating efficient simulations.
• Results suggest potential advancements in numerical methods for various applications in physics and engineering.