Computer calculation of green's functions for third-order ordinary differential equations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I, Tome 165 (2019), pp. 3-9
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In this paper, we present a method of computer calculation of Green's function in the form of generalized power series for third-order linear differential equations admitting regular singularities. For specific boundary-value problems, we construct Green's functions by using the software proposed.
Keywords:
ordinary differential equation, boundary-value problem, Green function, symbol-numerical computation, computer simulation.
@article{INTO_2019_165_a0,
author = {I. N. Belyaeva and N. A. Chekanov and L. V. Krasovskaya and N. N. Chekanova},
title = {Computer calculation of green's functions for third-order ordinary differential equations},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {3--9},
year = {2019},
volume = {165},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2019_165_a0/}
}
TY - JOUR AU - I. N. Belyaeva AU - N. A. Chekanov AU - L. V. Krasovskaya AU - N. N. Chekanova TI - Computer calculation of green's functions for third-order ordinary differential equations JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2019 SP - 3 EP - 9 VL - 165 UR - http://geodesic.mathdoc.fr/item/INTO_2019_165_a0/ LA - ru ID - INTO_2019_165_a0 ER -
%0 Journal Article %A I. N. Belyaeva %A N. A. Chekanov %A L. V. Krasovskaya %A N. N. Chekanova %T Computer calculation of green's functions for third-order ordinary differential equations %J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory %D 2019 %P 3-9 %V 165 %U http://geodesic.mathdoc.fr/item/INTO_2019_165_a0/ %G ru %F INTO_2019_165_a0
I. N. Belyaeva; N. A. Chekanov; L. V. Krasovskaya; N. N. Chekanova. Computer calculation of green's functions for third-order ordinary differential equations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I, Tome 165 (2019), pp. 3-9. http://geodesic.mathdoc.fr/item/INTO_2019_165_a0/
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