A polynomial approximation method for the solution of a boundary value problem and its derivatives for linear ordinary differential equations

V. K. Dzyadyk, L. A. Ostrovetskii


Abstract: Effective algorithms are proposed for the construction of polynomials of asymptotically best approximation of the solution of a boundary value problem and its derivatives for linear differential equations with polynomial coefficients.
Bibliography: 7 titles.

UDC: 517.5

MSC: Primary 34B05, 34A45, 41A10, 41A50; Secondary 45D05, 41A60, 41A65

Received: 09.10.1986

 English version: Mathematics of the USSR-Izvestiya, 1989, 33:2, 391–402

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