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Dear authors! Submission of all materials is carried out only electronically through Online Submission System in personal account. DOI: 10.23671/VNC.2017.1.5821 Difference Schemes for the AllerLykov Moisture Transfer Equations with a Nonlocal Condition
Lafisheva M. M. , Kerefov M. A. , Dyshekova R. V.
Vladikavkaz Mathematical Journal 2017. Vol. 19. Issue 1.
Abstract:
Questions of warmmoisture transfer in the soil are fundamental in solving of various problems of hydrology, agrophysics, ecology and others. AllerLykov equation obtained by introducing additional terms in the moisture transfer equation, which take into account the rapid fluctuations of humidity on the boundaries of the test sample of the soil and the final velocity of the perturbation. The paper deals with a boundary value problem for the AllerLykov moisture transfer equation with the first type Steklov conditions. A priori estimate for the solution of the differential problem is obtained by the method of energy inequalities, which implies the stability of its solution. Threelevel scheme is built. A priori estimate for the solution of the difference problem is obtained. The fact of the convergence of a difference scheme with a rate of \(O(h+\tau)\) is set. The features of the application of the bordering method to the numerical solution of the difference problem are considered. Numerical experiments are conducted, the results of which are attached.
Keywords: oisture transfer equation, nonlocal conditions, difference scheme, a priori estimate, convergence, bordering method.
Language: Russian
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For citation: Lafisheva M. M., Kerefov M. A., Dyshekova R. V. Difference Schemes for the AllerLykov Moisture Transfer Equations with a Nonlocal Condition. Vladikavkazskij matematicheskij zhurnal [Vladikavkaz Math. J.], vol. 19, no. 1, pp. 4149.
DOI 10.23671/VNC.2017.1.5821 ← Contents of issue 
 

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