SOLUTION OF DIFFERENTIAL EQUATION WITH FINITE DIFFERENCE METHOD OF CARDIOVASCULAR SYSTEM

Nurjabova D.; Kutdusova Elmira Raufovna

doi:10.5281/zenodo.11401418

Nurjabova D., Kutdusova Elmira Raufovna

Abstract. This abstract considers the process of solving a parabolic differential equation by the finite difference method. The method is based on discretization of space and time, approximation of derivatives and subsequent calculation of function values on a grid. The solution of the system of equations is performed using an explicit or implicit scheme. In the explicit scheme, the function values in the new time layer are calculated based on the function values in the previous layer. In the implicit scheme, the function values in the new layer are found as a solution to a system of equations. For the implicit scheme, iterative methods are used.

Keywords: differential equation, explicit scheme, implicit scheme, mathematical model of blood vessels, discretization of space and time

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