Назад Go Back

Modeling approximating the 16-point compartment the response surface with respect to the solution of the inhomogeneous heat equation

Фото Konopatskiy Evgeniy Viktorovich

Аbstract

The paper proposes a method for solving differential equations of mathematical physics using geometric objects passing through the predetermined points, namely, the solution of the inhomogeneous heat equation by approximating the response surface passing through 16 predetermined points. A comparison the results of solving the inhomogeneous heat equation approximated by a 16-point compartment of the response surface with the reference compartment of the surface obtained by the method of separating variables is also presented.

Keywords: 16-point compartment, approximating the response surface, a geometric object, the arc of the curve, differential equation, inhomogeneous heat equation.