The direct RBF-PU method based on Lagrangian framework for parabolic equations on isotropic and anisotropic growth surfaces

Key Points

• The RBF-PU method demonstrates improved accuracy for parabolic equations on growth surfaces, enhancing computational efficiency.
• Key metrics include substantial reductions in error margins for both isotropic and anisotropic cases, revealing its effectiveness.
• Using a lagrangian framework, this approach addresses complex boundary conditions effectively, ensuring stability in simulations.
• The findings indicate a need for further testing across diverse conditions to optimize the model's applicability in practical scenarios.