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.
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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
Mots-clés : Rothe's method; Galerkin's method; error estimates; convergence; quasilinear parabolic integrodifferential problem; abstract real Hilbert space
Mots-clés : 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 = {https://geodesic-test.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 - https://geodesic-test.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 https://geodesic-test.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. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104384/
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