Geodesic
Numerical solution of a boundary value problem for a loaded parabolic equation with nonlocal boundary conditions
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 32 (2020) no. 3, pp. 15-28

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In the work, we propose a numerical method of solution to the boundary-value problem with respect to the loaded parabolic equation with nonlocal boundary conditions. We have obtained formulas and derived an algorithm for the solution of the problem. We provide the results of numerical solution to two test problems, which illustrates the efficiency of the approach proposed.
Keywords: loaded differential equations, method of lines, transfer of boundary conditions.
Mots-clés : nonlocal conditions 
@article{VKAM_2020_32_3_a1,
     author = {V. M. Abdullayev},
     title = {Numerical solution of a boundary value problem for a loaded parabolic equation with nonlocal boundary conditions},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {15--28},
     publisher = {mathdoc},
     volume = {32},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2020_32_3_a1/}
}
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V. M. Abdullayev. Numerical solution of a boundary value problem for a loaded parabolic equation with nonlocal boundary conditions. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 32 (2020) no. 3, pp. 15-28. http://geodesic.mathdoc.fr/item/VKAM_2020_32_3_a1/