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Solving Nonlinear PDEs research benchmarks · SOTA2 Research

Solving Nonlinear PDEs

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

2D Allen-Cahn equation (20) with a = 20

0Relative L2 Error

16

Mar 27, 2026

nonlinear heat n = 64 (test)

Baldwinian-PINN

0.001Relative L2 Error

8

Feb 26, 2026

Burgers’ equation n = 32 (test)

Baldwinian-PINN

0Relative L2 Error

8

Feb 26, 2026

6D diffusion-reaction n = 100 (test)

Baldwinian-PINN

0Relative L2 Error

7

Feb 26, 2026

Diffusion-reaction n = 64 (test)

Baldwinian-PINN

0Relative L2 Error

7

Feb 26, 2026

Allen-Cahn equation n = 32 (test)

Baldwinian-PINN

0.001Relative L2 Error

7

Feb 26, 2026

TC-11 Time-dependent viscous Burger's equation

0Max Error

5

Jun 19, 2026

TC-10 Nonlinear spring oscillator equation

0Max Error

5

Jun 19, 2026

TC-9 Steady-state nonlinear Helmholtz equation

0Max Error

5

Jun 19, 2026

Popular datasets

Burgers' Equation Allen-Cahn equation TC nonlinear heat Diffusion-reaction

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