We combine the theory of radial basis functions with the finite difference method to solve the inverse heat problem, and use five standard radial basis functions in the method of the collocation. In addition, using the newly proposed numerical procedure, we also discuss some experimental numerical results.
@article{702889,
title = {A mesh free numerical method for the solution of an inverse heat problem},
booktitle = {Applications of Mathematics 2012},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2012},
pages = {14-30},
mrnumber = {MR3204397},
zbl = {1313.65255},
url = {http://dml.mathdoc.fr/item/702889}
}
Azari, Hossein; Parzlivand, F.; Zhang, Shuhua. A mesh free numerical method for the solution of an inverse heat problem, dans Applications of Mathematics 2012, GDML_Books, (2012), pp. 14-30. http://gdmltest.u-ga.fr/item/702889/