Geodesic
On One-Dimensional Boundary Value Problems with Explosive Coefficients and a Specific Net Basis Oriented towards their Solution
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 3, pp. 95-106

Voir la notice de l'article provenant de la source Math-Net.Ru

A net functional basis, based on trigonometry, is offered. This basis is oriented towards a solution of one-dimensional diffusion and diffusion-convective boundary value problems with explosive coefficients in the Cartesian, cylindrical and spherical systens of coordinates. A more general method of investigation of boundary and conjugation conditions with respect to their belonging to principal and natural conditions is proposed. An example of the search for a generalized solution to a boundary value problem by means of the net method with arbitrary net of nodes is given.
Keywords: boundary value problem, functional net basis, arbitrary net of nodes, functional, generalized solution, energy scalar product, sweep method.
Mots-clés : conjugation conditions, principal and natural conditions 
@article{VNGU_2014_14_3_a7,
     author = {V. V. Smelov},
     title = {On {One-Dimensional} {Boundary} {Value} {Problems} with {Explosive} {Coefficients} and a {Specific} {Net} {Basis} {Oriented} towards their {Solution}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {95--106},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2014_14_3_a7/}
}
TY  - JOUR
AU  - V. V. Smelov
TI  - On One-Dimensional Boundary Value Problems with Explosive Coefficients and a Specific Net Basis Oriented towards their Solution
JO  - Sibirskij žurnal čistoj i prikladnoj matematiki
PY  - 2014
SP  - 95
EP  - 106
VL  - 14
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VNGU_2014_14_3_a7/
LA  - ru
ID  - VNGU_2014_14_3_a7
ER  - 
%0 Journal Article
%A V. V. Smelov
%T On One-Dimensional Boundary Value Problems with Explosive Coefficients and a Specific Net Basis Oriented towards their Solution
%J Sibirskij žurnal čistoj i prikladnoj matematiki
%D 2014
%P 95-106
%V 14
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VNGU_2014_14_3_a7/
%G ru
%F VNGU_2014_14_3_a7
V. V. Smelov. On One-Dimensional Boundary Value Problems with Explosive Coefficients and a Specific Net Basis Oriented towards their Solution. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 3, pp. 95-106. http://geodesic.mathdoc.fr/item/VNGU_2014_14_3_a7/