2017
Том 69
№ 7

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Approximation of solutions of Goursat's problem for a nonlinear equation of hyperbolic type by Bernshtein type polynomials

Le Dyk Kiem, Makhmudov A. P.

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Abstract

Using Bernshtein type polynomials for functions of two variables, a scheme is given for successive approximations, and its uniform convergence to the unique solution of the Goursat problem for a nonlinear hyperbolic equation is proved.

English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 8, pp 1018-1025.

Citation Example: Le Dyk Kiem, Makhmudov A. P. Approximation of solutions of Goursat's problem for a nonlinear equation of hyperbolic type by Bernshtein type polynomials // Ukr. Mat. Zh. - 1992. - 44, № 8. - pp. 1116–1123.

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