Geodesic
On the method of lines for a non-linear heat equation with functional dependence
Annales Polonici Mathematici, Tome 69 (1998) no. 1, pp. 61-74 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We consider a heat equation with a non-linear right-hand side which depends on certain Volterra-type functionals. We study the problem of existence and convergence for the method of lines by means of semi-discrete inverse formulae.
DOI : 10.4064/ap-69-1-61-74
Keywords: method of lines, stability, consistency

H. Leszczyński 1

1 
@article{10_4064_ap_69_1_61_74,
     author = {H. Leszczy\'nski},
     title = {On the method of lines for a non-linear heat equation with functional dependence},
     journal = {Annales Polonici Mathematici},
     pages = {61--74},
     year = {1998},
     volume = {69},
     number = {1},
     doi = {10.4064/ap-69-1-61-74},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-61-74/}
}
TY  - JOUR
AU  - H. Leszczyński
TI  - On the method of lines for a non-linear heat equation with functional dependence
JO  - Annales Polonici Mathematici
PY  - 1998
SP  - 61
EP  - 74
VL  - 69
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-61-74/
DO  - 10.4064/ap-69-1-61-74
LA  - en
ID  - 10_4064_ap_69_1_61_74
ER  - 
%0 Journal Article
%A H. Leszczyński
%T On the method of lines for a non-linear heat equation with functional dependence
%J Annales Polonici Mathematici
%D 1998
%P 61-74
%V 69
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-61-74/
%R 10.4064/ap-69-1-61-74
%G en
%F 10_4064_ap_69_1_61_74
H. Leszczyński. On the method of lines for a non-linear heat equation with functional dependence. Annales Polonici Mathematici, Tome 69 (1998) no. 1, pp. 61-74. doi: 10.4064/ap-69-1-61-74

Cité par Sources :