One-step methods for ordinary differential equations with parameters
Applications of Mathematics, Tome 35 (1990) no. 1, pp. 67-83.
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In the present paper we are concerned with the problem of numerical solution of ordinary differential equations with parameters. Our method is based on a one-step procedure for IDEs combined with an iterative process. Simple sufficient conditions for the convergence of this method are obtained. Estimations of errors and some numerical examples are given.
DOI :
10.21136/AM.1990.104388
Classification :
34B15, 65L06, 65L10, 65L15, 65L70
Mots-clés : ordinary differential equations with parameters; numerical solution; one-step method; parameter estimation; iterative methods; convergence; error estimates; numerical examples
Mots-clés : ordinary differential equations with parameters; numerical solution; one-step method; parameter estimation; iterative methods; convergence; error estimates; numerical examples
@article{10_21136_AM_1990_104388, author = {Jankowski, Tadeusz}, title = {One-step methods for ordinary differential equations with parameters}, journal = {Applications of Mathematics}, pages = {67--83}, publisher = {mathdoc}, volume = {35}, number = {1}, year = {1990}, doi = {10.21136/AM.1990.104388}, mrnumber = {1039412}, zbl = {0701.65053}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104388/} }
TY - JOUR AU - Jankowski, Tadeusz TI - One-step methods for ordinary differential equations with parameters JO - Applications of Mathematics PY - 1990 SP - 67 EP - 83 VL - 35 IS - 1 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104388/ DO - 10.21136/AM.1990.104388 LA - en ID - 10_21136_AM_1990_104388 ER -
%0 Journal Article %A Jankowski, Tadeusz %T One-step methods for ordinary differential equations with parameters %J Applications of Mathematics %D 1990 %P 67-83 %V 35 %N 1 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104388/ %R 10.21136/AM.1990.104388 %G en %F 10_21136_AM_1990_104388
Jankowski, Tadeusz. One-step methods for ordinary differential equations with parameters. Applications of Mathematics, Tome 35 (1990) no. 1, pp. 67-83. doi : 10.21136/AM.1990.104388. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104388/
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