On the use of Green's functions for approximating nonlinear parabolic PDE's

DOI10.1016/0893-9659(89)90072-4zbMath0709.35063OpenAlexW1983519888MaRDI QIDQ921261

James F. Epperson

Publication date: 1989

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(89)90072-4

zbMATH Keywords

Green's function

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Fundamental solutions to PDEs (35A08) Theoretical approximation in context of PDEs (35A35)

Related Items (3)

A kernel-based method for parabolic equations with nonlinear convection terms ⋮ Fast direct solvers for the heat equation in simple geometries ⋮ Causal Poisson bracket via deformation quantization

Cites Work

• The combined use of a nonlinear chernoff formula with a regularization procedure for two-phase stefan problems
• A numerical method for solving the problem $u_t - \Delta f (u) = 0$

This page was built for publication: On the use of Green's functions for approximating nonlinear parabolic PDE's