RBF-RLS outperforms PINNs on PDEs with Dirac deltas via weak-form integration, delivering consistent forward and inverse solutions for linear transport problems in porous media and rivers.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
verdicts
UNVERDICTED 2representative citing papers
An implicit exact solution for Burgers' equation on bounded domains is obtained via Hopf-Cole linearization followed by inverse Laplace transforms.
citing papers explorer
-
Physics-Informed Neural Networks and Radial Basis Functions for PDEs with Dirac Delta Sources
RBF-RLS outperforms PINNs on PDEs with Dirac deltas via weak-form integration, delivering consistent forward and inverse solutions for linear transport problems in porous media and rivers.
-
Exact solution to a class of problems for the Burgers' equation on bounded intervals
An implicit exact solution for Burgers' equation on bounded domains is obtained via Hopf-Cole linearization followed by inverse Laplace transforms.