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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2017 Number 2(18), Pages 59–64 (Mi vkam199)

MATHEMATICAL MODELING

On one model integral-differential Bernull equation

S. V. Myshkin

Vitus Bering Kamchatka State University

Abstract: The model integro-differential Bernlulli equation is considered in the paper. This equation was reduced to a differential equation with derivatives of fractional orders and solved numerically with the help of Newton’s iteration method. Depending on the values of the control parameters, calculated curves were constructed.

Keywords: Bernoulli equations, Newton’s method, the derivative of a fractional order.

UDC: 517.938

MSC: 37N30

Received: 25.05.2017

DOI: 10.18454/2079-6641-2017-18-2-59-64



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© Steklov Math. Inst. of RAS, 2025