Application of different methods for solving linear difference equations with variable coefficients
The Teaching of Mathematics, XXVIII (2025) no. 1, p. 30
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Several methods for solving linear difference equations are considered: the operator method, the method of invariants, the method of generating functions, the $Z$-transform method, and the factorial series method. The application of these methods is demonstrated by solving higher-order linear difference equations with variable coefficients, in particular to solving an interesting problem from the Putnam student competition in 1990.
Classification :
97I30, I35, I75
Keywords: Linear difference equation, operator method, invariant method, method of generating functions, $Z$-transform method, method of factorial series.
Keywords: Linear difference equation, operator method, invariant method, method of generating functions, $Z$-transform method, method of factorial series.
Mehmed Nurkanović; Mirsad Trumić. Application of different methods for solving linear difference equations with variable coefficients. The Teaching of Mathematics, XXVIII (2025) no. 1, p. 30 . doi: 10.57016/TM-UURP1450
@article{10_57016_TM_UURP1450,
author = {Mehmed Nurkanovi\'c and Mirsad Trumi\'c},
title = {Application of different methods for solving linear difference equations with variable coefficients},
journal = {The Teaching of Mathematics},
pages = {30 },
year = {2025},
volume = {XXVIII},
number = {1},
doi = {10.57016/TM-UURP1450},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.57016/TM-UURP1450/}
}
TY - JOUR AU - Mehmed Nurkanović AU - Mirsad Trumić TI - Application of different methods for solving linear difference equations with variable coefficients JO - The Teaching of Mathematics PY - 2025 SP - 30 VL - XXVIII IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.57016/TM-UURP1450/ DO - 10.57016/TM-UURP1450 LA - en ID - 10_57016_TM_UURP1450 ER -
%0 Journal Article %A Mehmed Nurkanović %A Mirsad Trumić %T Application of different methods for solving linear difference equations with variable coefficients %J The Teaching of Mathematics %D 2025 %P 30 %V XXVIII %N 1 %U http://geodesic.mathdoc.fr/articles/10.57016/TM-UURP1450/ %R 10.57016/TM-UURP1450 %G en %F 10_57016_TM_UURP1450
Cité par Sources :