Abstract. The authors propose, theoretically substantiate, and programmatically implemented high-precision numerical-analytical algorithms for approximation of problems solutions in inhomogeneous media on the basis of linear polynomial operators.
Keywords: piecewise polynomial approximation, inhomogeneous medium, unsaturation, best approximation, algebraic-nonlinear equations, optimal algorithms, computational optimization, parabolic splines of special kind.
1 National Pedagogical Dragomanov University, Kyiv, Ukraine,
e-mail: v.i.bilenko@npu.edu.ua.
2 National Pedagogical Dragomanov University, Kyiv, Ukraine,
e-mail: katboz2014@gmail.com.
3 State University of Telecommunications, Kyiv, Ukraine.
4 Taras Shevchenko National University of Kyiv, Kyiv,
Ukraine,
e-mail: oleg.stelya@gmail.com.