Chien-physics-informed neural networks for solving singularly perturbed boundary-layer problems
Sign Up to like & getrecommendations! Published in 2024 at "Applied Mathematics and Mechanics"
DOI: 10.1007/s10483-024-3149-8
Abstract: A physics-informed neural network (PINN) is a powerful tool for solving differential equations in solid and fluid mechanics. However, it suffers from singularly perturbed boundary-layer problems in which there exist sharp changes caused by a… read more here.
Keywords: singularly perturbed; physics informed; pinn; informed neural ... See more keywords
DRBEM solution of the Cauchy MHD duct flow with a slipping perturbed boundary
Sign Up to like & getrecommendations! Published in 2018 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2018.04.007
Abstract: Abstract In this study, the MHD flow direct and Cauchy problems are solved in a rectangular duct with a perturbed, curved, and slip upper boundary. The aim is to recompute the slipping velocity and the… read more here.
Keywords: duct; mhd; cauchy; perturbed boundary ... See more keywords
A subdivision-based approach for singularly perturbed boundary value problem
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-02732-8
Abstract: A numerical approach for solving second order singularly perturbed boundary value problems (SPBVPs) is introduced in this paper. This approach is based on the basis function of a 6-point interpolatory subdivision scheme. The numerical results along… read more here.
Keywords: singularly perturbed; subdivision; boundary value; approach ... See more keywords