ALGORITHM FOR NUMERICAL SOLUTION OF A BOUNDARY VALUE PROBLEM IN A THREE-DIMENSIONAL PARABOLIC EQUATION
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Abstract
The paper shows the solution of a differential equation of the three-dimensional parabolic type using numerical methods. To solve the problem numerically, the finite difference method based on the directional scheme of the variables was used. The progonka method was used to solve a system of finitely differential equations. This paper presents an algorithmic block diagram for solving the boundary value problem of a three-dimensional parabolic equation, as well as software developed in the MathLab programming environment based on a mathematical model of the boundary value problem and the developed algorithm. The numerical results obtained are presented in visual form in 3D graphical form and compared with clear solutions.
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References
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E. Nazirova, А. Nematov, M. Mahmudova “Algorithm for solving boundary value problemsof parabolic equations and 3D visualization of results”// International Conference OnInformation Science And Сommunications Technologies: Applications, Trends AndOpportunities// 2021 ICISCT https:// ieeexplore.ieee.org/document/9670368 01-05р