Geodesic
Numerical-analytical method for solving boundary value problem for the generalized moisture transport equation
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 31 (2021) no. 1, pp. 19-34

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

The paper studies qualitatively new equations of moisture transfer, which generalize the Aller and Aller-Lykov equations. The generalization contributes to revealing in the original equations the specific features of the studied massifs, their structure, physical properties, processes occurring in them through the introduction of the notion of the rates of change of the fractal dimension. We have obtained solutions to the constant coefficient difference equations as a system arising when using the method of lines for the equations with a Riemann-Liouville time fractional derivative with boundary conditions of the first kind. A priori estimates are obtained that imply convergence of the obtained solutions to systems of ordinary differential equations with variable fractional coefficients. Numerical tests have been carried out to confirm theoretical results of the study.
Keywords: generalized Aller moisture transfer equation, fractional order derivative, method of lines, a priori estimate.
Mots-clés : Aller-Lykov equation 
@article{VUU_2021_31_1_a1,
     author = {M. A. Kerefov and S.Kh. Gekkieva},
     title = {Numerical-analytical method for solving boundary value problem for the generalized moisture transport equation},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {19--34},
     publisher = {mathdoc},
     volume = {31},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2021_31_1_a1/}
}
TY  - JOUR
AU  - M. A. Kerefov
AU  - S.Kh. Gekkieva
TI  - Numerical-analytical method for solving boundary value problem for the generalized moisture transport equation
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2021
SP  - 19
EP  - 34
VL  - 31
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VUU_2021_31_1_a1/
LA  - ru
ID  - VUU_2021_31_1_a1
ER  - 
%0 Journal Article
%A M. A. Kerefov
%A S.Kh. Gekkieva
%T Numerical-analytical method for solving boundary value problem for the generalized moisture transport equation
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2021
%P 19-34
%V 31
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VUU_2021_31_1_a1/
%G ru
%F VUU_2021_31_1_a1
M. A. Kerefov; S.Kh. Gekkieva. Numerical-analytical method for solving boundary value problem for the generalized moisture transport equation. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 31 (2021) no. 1, pp. 19-34. http://geodesic.mathdoc.fr/item/VUU_2021_31_1_a1/