On numerical solution by method of V.K. Dzyadyk of Goursat problem with constant coefficients

V.P. Burlachenko (Dnipropetrovsk State University)
Yu.I. Romanenko (Dnipropetrovsk State University)


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.


Dzyadyk V.K. "On application of linear methods to polynomial approximation of solutions of ordinary differential equations and Hammerstein integral equations", Izv. AN SSSR. Ser. Matem., 1970; 34(4). (in Russian)

Burlachenko V.P., Romanenko Yu.I. "On approximation of solutions of Goursat problem by Fourier-Chebyshev operators", Res. Math., 1975. (in Russian)

Tikhonov A.N., Samarskij A.A. Equations of mathematical physics, Nauka, 1972. (in Russian)

DOI: https://doi.org/10.15421/247726



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Copyright (c) 1977 V.P. Burlachenko, Yu.I. Romanenko

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991