A numerical method for solving ordinary differential equations by converting them into the form of a Shannon
N. G. Chikurov
Ufa State Aviation Technical University
A numerical solution method based on the reduction of systems of ordinary differential
equations to the Shannon form is considered. Shannon's equations differ in that they contain only multiplication and summation operations. The absence of functional transformations makes it possible to simplify and unify the process of numerical integration of
differential equations in the form of Shannon. To do this, it is enough in the initial equations given in the normal form of Cauchy to make a simple replacement of variables. In
contrast to the classical fourth-order Runge-Kutta method, the numerical method under
consideration may have a higher order of accuracy.
numerical methods, order of accuracy, ordinary differential equations, Shannon equations.
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N. G. Chikurov, “A numerical method for solving ordinary differential equations by converting them into the form of a Shannon”, Matem. Mod., 32:8 (2020), 3–20
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\paper A numerical method for solving ordinary differential equations by converting them into the form of a Shannon
\jour Matem. Mod.
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