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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 
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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/

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