Deep Neural Networks with Spacetime RBF for Solving Forward and Inverse Problems in the Diffusion Process
Cheng-Yu Ku,
Chih-Yu Liu,
Yu-Jia Chiu
et al.
Abstract:This study introduces a deep neural network approach that utilizes radial basis functions (RBFs) to solve forward and inverse problems in the process of diffusion. The input layer incorporates multiquadric (MQ) RBFs, symbolizing the radial distance between the boundary points on the spacetime boundary and the source points positioned outside the spacetime boundary. The output layer is the initial and boundary data given by analytical solutions of the diffusion equation. Utilizing the concept of the spacetime c… Show more
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