Geodesic
An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation
Applications of Mathematics, Tome 35 (1990) no. 1, pp. 16-27.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

One parabolic integrodifferential problem in the abstract real Hilbert spaces is studied in this paper. The semidiscrete and full discrete approximate solution is defined and the error estimate of Rothe's function in some function spaces is established.
DOI : 10.21136/AM.1990.104384
Classification : 35K22, 45G10, 45K05, 45L05, 45N05, 65M15, 65M20, 65R20
Keywords: Rothe's method; Galerkin's method; error estimates; convergence; quasilinear parabolic integrodifferential problem; abstract real Hilbert space 
@article{10_21136_AM_1990_104384,
     author = {Slodi\v{c}ka, Mari\'an},
     title = {An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation},
     journal = {Applications of Mathematics},
     pages = {16--27},
     publisher = {mathdoc},
     volume = {35},
     number = {1},
     year = {1990},
     doi = {10.21136/AM.1990.104384},
     mrnumber = {1039408},
     zbl = {0725.65138},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1990.104384/}
}
TY  - JOUR
AU  - Slodička, Marián
TI  - An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation
JO  - Applications of Mathematics
PY  - 1990
SP  - 16
EP  - 27
VL  - 35
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1990.104384/
DO  - 10.21136/AM.1990.104384
LA  - en
ID  - 10_21136_AM_1990_104384
ER  - 
%0 Journal Article
%A Slodička, Marián
%T An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation
%J Applications of Mathematics
%D 1990
%P 16-27
%V 35
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1990.104384/
%R 10.21136/AM.1990.104384
%G en
%F 10_21136_AM_1990_104384
Slodička, Marián. An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation. Applications of Mathematics, Tome 35 (1990) no. 1, pp. 16-27. doi : 10.21136/AM.1990.104384. http://geodesic.mathdoc.fr/articles/10.21136/AM.1990.104384/

Cité par Sources :