MixFunn is a novel neural network architecture designed to solve differential equations with improved precision, interpretability, and generalization capability.
The architecture includes the mixed-function neuron and the second-order neuron, which enhance the representational flexibility and expressive power of the network.
MixFunn achieves comparable or superior results with significantly fewer parameters compared to conventional approaches.
It has been successfully applied in solving differential equations in classical mechanics, quantum mechanics, and fluid dynamics, showing higher accuracy and improved generalization beyond the training domain.