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Solving Partial Differential Equations (PDEs) on The Burgers’ equation viscosity ν = 0.001 1.0 (test)

0.0005Relative L2 ErrorTGPS-PF
-0.0218260.1287060.2792380.429769Oct 15, 2025

Evaluation results

MethodLinks
TGPS-PFNumber of collocation points=28000, Collocation grid size=700×402025.100.0005
TGPS-PFNumber of collocation points=32000, Collocation grid size=800×402025.100.0005
TGPS-NTNumber of collocation points=28000, Collocation grid size=700×402025.100.0005
TGPS-NTNumber of collocation points=32000, Collocation grid size=800×402025.100.0007
SKSNumber of collocation points=32000, Collocation grid size=800×402025.100.0039
SKSNumber of collocation points=28000, Collocation grid size=700×402025.100.0042
TGPS-NTNumber of collocation points=16000, Collocation grid size=400×402025.100.0049
TGPS-PFNumber of collocation points=16000, Collocation grid size=400×402025.100.0053
SKSNumber of collocation points=16000, Collocation grid size=400×402025.100.0094
PINNNumber of collocation points=32000, Collocation grid size=800×402025.100.0107
PINNNumber of collocation points=28000, Collocation grid size=700×402025.100.023
SKSNumber of collocation points=8000, Collocation grid size=200×402025.100.0265
TGPS-NTNumber of collocation points=8000, Collocation grid size=200×402025.100.033
TGPS-PFNumber of collocation points=8000, Collocation grid size=200×402025.100.0341
PINNNumber of collocation points=16000, Collocation grid size=400×402025.100.265
PINNNumber of collocation points=8000, Collocation grid size=200×402025.100.558