Fig. 4: Learning the nonlinear diffusion-reaction equation.
From: One-shot learning for solution operators of partial differential equations
a The training data includes a random \({f}_{{\mathcal{T}}}\) generated from GRF and the corresponding solution \({u}_{{\mathcal{T}}}\). b The convergence of L2 relative errors of different approaches for various test cases. c Prediction example of different approaches for a test case with σtest = 0.8. d L2 relative error of different test functions with σtest = 0.1, 0.3, 0.5, 0.8 when using different numbers of point locations to show the effect of mesh resolutions.
