Open AccessOn numerical solution by method of V.K. Dzyadyk of Goursat problem with constant coefficients
Author(s) -
V. P. Burlachenko,
Yu.I. Romanenko
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/247726
Subject(s) - mathematics , constant (computer programming) , constant coefficients , chebyshev polynomials , chebyshev filter , polynomial , mathematical analysis , fourier transform , chebyshev nodes , chebyshev equation , fourier series , orthogonal polynomials , classical orthogonal polynomials , computer science , programming language
By means of Fourier-Chebyshev operators we construct, by approximative method, the generalized polynomial that approximates the solution of Goursat problem with constant coefficients. We obtain the efficient estimate of this approximation.