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Numerical solution and utilization of Green's functions
Author(s) -
Gallof S.,
Kaplan B.
Publication year - 1969
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620010205
Subject(s) - laplace transform , green's function for the three variable laplace equation , green s , mathematics , poisson distribution , numerical analysis , matrix (chemical analysis) , transient (computer programming) , poisson's equation , mathematical analysis , computer science , inverse laplace transform , materials science , statistics , composite material , operating system
A numerical method for obtaining the Green's functions for Laplace's, Poisson's, and the transient heat diffusion equations is presented. The Green's functions thus obtained are then employed to rapidly obtain numerical solutions of the above equations by matrix multiplication, with subsequent considerable savings in machine time.